(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))

(-.f64 (*.f64 b_2 b_2) (*.f64 a c))

(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)

(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule 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cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) 1) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(((+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 0 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) b_2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 0) b_2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 1 (/.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3)) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) 1) (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) 1) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) 1) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3)) 1) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3)) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (+.f64 (pow.f64 b_2 4) (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (*.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 b_2 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 3)) (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (+.f64 (pow.f64 b_2 6) (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3) (*.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3)) (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) 1) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (neg.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) (neg.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) 1) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) -1) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (sqrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (cbrt.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (neg.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2))) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) 1) (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (*.f64 (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (/.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (+.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) (-.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((sqrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 1 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 -1 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(((+.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (*.f64 a c)) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (*.f64 a c)) (+.f64 (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 b_2 b_2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 (neg.f64 (*.f64 a c)) 1) (*.f64 b_2 b_2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 1) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 a) c (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (neg.f64 (*.f64 a c))) (*.f64 a c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (*.f64 b_2 b_2)) (neg.f64 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 (neg.f64 (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (+.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (neg.f64 (*.f64 a c)) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 (*.f64 b_2 b_2) (exp.f64 (log1p.f64 (*.f64 a c)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 1 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))) (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (fma.f64 b_2 b_2 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 b_2 4) (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (neg.f64 (*.f64 a c)) 3)) (+.f64 (pow.f64 b_2 4) (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3) (pow.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) 1) (fma.f64 b_2 b_2 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) 1) (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c)))) 1) (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) 1) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (neg.f64 (*.f64 a c)) 3)) 1) (+.f64 (pow.f64 b_2 4) (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3) (pow.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) 1) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) 1) (neg.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 b_2 4)) (*.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2))) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b_2 4))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 b_2 4) 3) (pow.f64 (pow.f64 (*.f64 a c) 2) 3)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 b_2 4)) (+.f64 (*.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b_2 6) (pow.f64 b_2 6)) (*.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a c) 3))) (/.f64 1 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) (+.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 b_2 6) 3) (pow.f64 (pow.f64 (*.f64 a c) 3) 3)) (/.f64 1 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) (+.f64 (*.f64 (pow.f64 b_2 6) (pow.f64 b_2 6)) (+.f64 (*.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a c) 3)) (*.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) 1) (fma.f64 b_2 b_2 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (*.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) 1) (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (/.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c))))))) (cbrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) 1/2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((sqrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 b_2 b_2 (neg.f64 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 1 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(((+.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 b_2 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 (/.f64 0 a) (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 (/.f64 0 a) (-.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 1 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 1 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (*.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 1 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (cbrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (sqrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) -1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 3)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))

(/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))

(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a)

(-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))

(((-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 1/2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 c a) 3)))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 c a) 3))) (sqrt.f64 (+.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (fma.f64 b_2 b_2 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 1/2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(((+.f64 0 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 0 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 c (*.f64 a (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 c (*.f64 1 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 a (*.f64 c (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 c a) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 c a) (neg.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 c a) (/.f64 1 (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (*.f64 (cbrt.f64 (*.f64 c a)) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 -1 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) 1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) 1) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 a 1) (/.f64 c (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 (*.f64 c a) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 (*.f64 c a) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 a (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 c (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule 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tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 (*.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (*.f64 (*.f64 c a) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2)) (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) c) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c 1) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 a (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 a (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 a (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 c (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (sqrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (*.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 a))) (sqrt.f64 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) -1)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (-.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3))) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) c)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (pow.f64 (cbrt.f64 (*.f64 c a)) 2))) (cbrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 c) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a)) (sqrt.f64 c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 c c)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a)) (cbrt.f64 c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) 1) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 a (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 a (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (*.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 a))) (sqrt.f64 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 c) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) -1)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 (*.f64 c a) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 (*.f64 c a) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a)) c) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 (*.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (*.f64 (*.f64 c a) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) c)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 -1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (pow.f64 (cbrt.f64 (*.f64 c a)) 2))) (cbrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) 1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) 1) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (-.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) 1) (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3))) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (sqrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (sqrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (cbrt.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (cbrt.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (*.f64 c a)) -1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((neg.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((sqrt.f64 (pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (/.f64 1 (exp.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 3)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 c a) (*.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (/.f64 1 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 c a) (/.f64 1 (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) (/.f64 1 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (/.f64 1 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) 2) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (/.f64 1 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 a) (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) 1) (/.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) (sqrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) (cbrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) a) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 a a) (/.f64 c (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) a) (/.f64 (sqrt.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) a) (/.f64 (cbrt.f64 (*.f64 c a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (sqrt.f64 a)) (/.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (sqrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) a) (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (cbrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) (sqrt.f64 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 c (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 a (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) c) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (*.f64 a (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c a) (*.f64 a (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) (-.f64 0 (*.f64 a a))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) (-.f64 0 (pow.f64 a 3))) (+.f64 (+.f64 0 (*.f64 a a)) (*.f64 0 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 a (*.f64 c a))) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 a (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)))) (sqrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 a (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2))) (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (sqrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (*.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (cbrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) 2) a) (cbrt.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) 1) (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 (*.f64 c a) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 (*.f64 c a) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) a)) c) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 (*.f64 c a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (*.f64 (*.f64 c a) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) (*.f64 c a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) c)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 1 a) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (pow.f64 (cbrt.f64 (*.f64 c a)) 2))) (cbrt.f64 (*.f64 c a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) 1) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (/.f64 a (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) (/.f64 a (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (*.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (*.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 a))) (sqrt.f64 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 c (/.f64 1 a)) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) -1)) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) 1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) 1) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (-.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (*.f64 c a) (/.f64 1 a)) (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3))) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) 1) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) 1) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (-.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3))) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 1) (-.f64 0 (*.f64 a a))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 1) (-.f64 0 (pow.f64 a 3))) (+.f64 (+.f64 0 (*.f64 a a)) (*.f64 0 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) -1) (-.f64 0 (*.f64 a a))) a) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) -1) (-.f64 0 (pow.f64 a 3))) (+.f64 (+.f64 0 (*.f64 a a)) (*.f64 0 a))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (*.f64 a (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (*.f64 c a))) -1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((neg.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((sqrt.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 3)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) c) 3) (pow.f64 a 3))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))

(((+.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 b_2 (+.f64 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 b_2 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 b_2 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (+.f64 b_2 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1) b_2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (-.f64 b_2 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 1/4))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))) (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (+.f64 (*.f64 b_2 b_2) (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)) (-.f64 (pow.f64 b_2 4) (*.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) (-.f64 (*.f64 b_2 b_2) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)) (+.f64 (pow.f64 b_2 6) (pow.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 3))) (+.f64 (pow.f64 b_2 4) (-.f64 (*.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 (*.f64 b_2 b_2) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 1 (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2)) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c a)))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3)) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (*.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 2) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((sqrt.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 2)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((cbrt.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 3)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((expm1.f64 (log1p.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (log.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) 1)) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((log1p.f64 (expm1.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 1 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))) #(struct:egraph-query ((sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)))