Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 31.3% | 31.2% | 68.7% | 0.1% | 0% | 0% | 0% | 8 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 9 |
| 60.9% | 60.9% | 39% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 79.3% | 79.2% | 20.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 1.1s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1260× | associate-*r* |
| 1080× | associate-*l* |
| 978× | *-commutative |
| 968× | distribute-lft-out-- |
| 930× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 31 | 50 |
| 2 | 85 | 38 |
| 3 | 192 | 38 |
| 4 | 373 | 38 |
| 5 | 1154 | 38 |
| 6 | 5362 | 38 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x)) |
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2))) |
(+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 1168× | fma-neg |
| 1008× | *-commutative |
| 728× | associate-/r* |
| 654× | times-frac |
| 552× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 21 | 25 |
| 2 | 54 | 19 |
| 3 | 123 | 19 |
| 4 | 236 | 19 |
| 5 | 540 | 19 |
| 6 | 1123 | 19 |
| 7 | 3839 | 19 |
| 8 | 7748 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) |
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
Compiled 43 to 25 computations (41.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 2 | 5 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 3 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.1% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| ▶ | 100.0% | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
Compiled 18 to 12 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
| 1.0ms | y | @ | 0 | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
| 0.0ms | y | @ | inf | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
| 0.0ms | y | @ | -inf | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 986× | associate-/r* |
| 960× | *-commutative |
| 690× | unswap-sqr |
| 540× | swap-sqr |
| 442× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 188 | 19 |
| 2 | 2703 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
| Outputs |
|---|
(((+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) 1)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) 1)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) 1)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) 1)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1/2 (+.f64 (/.f64 1 y) (/.f64 -1 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1/2 (+.f64 (/.f64 -1 x) (/.f64 1 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) 1) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 -1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (/.f64 2 (+.f64 (/.f64 1 y) (/.f64 1 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (-.f64 x y)) (/.f64 1 (*.f64 y x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 -1/2 (+.f64 (/.f64 -1 y) (/.f64 1 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 -1/2 (+.f64 (/.f64 1 x) (/.f64 -1 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 -1/2 (-.f64 (/.f64 -1 y) (/.f64 -1 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y) (/.f64 -1 x)) 1/2) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y)) (sqrt.f64 (/.f64 1/2 x))) (+.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 2 (+.f64 (/.f64 1 y) (/.f64 1 x))) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y x)) (*.f64 1/2 (-.f64 x y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 y y)) (-.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 (/.f64 1/4 y) x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (*.f64 1/2 (+.f64 x y))) (*.f64 y x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 y (*.f64 1/2 (*.f64 x 2)))) (*.f64 y (*.f64 x 2))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (*.f64 y -1/2) (*.f64 1/2 (neg.f64 x)))) (*.f64 y (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 x (*.f64 1/2 (*.f64 y 2)))) (*.f64 x (*.f64 y 2))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (*.f64 y 2) (*.f64 x 2))) (*.f64 (*.f64 y 2) (*.f64 x 2))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (neg.f64 x) (*.f64 (*.f64 y 2) -1/2))) (*.f64 (*.f64 y 2) (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (*.f64 y -1/2) (*.f64 x -1/2))) (*.f64 y (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (neg.f64 y) (*.f64 (*.f64 x 2) -1/2))) (*.f64 (*.f64 x 2) (neg.f64 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 -1/2 (neg.f64 y)))) (*.f64 (neg.f64 y) (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 3))) (*.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (-.f64 (/.f64 1/4 (*.f64 y y)) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 (/.f64 1/4 y) x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1/4 (*.f64 y y)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 (/.f64 1/4 y) x)) 3))) (+.f64 (*.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 3))) (*.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 (/.f64 1/4 y) x)) (-.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 (/.f64 1/4 y) x)) (/.f64 1/4 (*.f64 y y)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 -1/2 x)) 1) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 y (/.f64 (*.f64 1/2 (-.f64 x y)) x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 1/2 x)) (/.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))) (/.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))) (sqrt.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (-.f64 x y))) (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 1/2 (-.f64 x y))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))) (/.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (sqrt.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))))) (/.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))) (cbrt.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) (/.f64 (*.f64 y x) (cbrt.f64 (*.f64 1/2 (-.f64 x y))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))))) (/.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) y) x) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 y 3))) (*.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))) (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 1/8 (pow.f64 y 3))) (*.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x x) 1/4) (*.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 1/2 (+.f64 x y)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))) (+.f64 (*.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 y 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 2) 3)) (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (+.f64 (*.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 3))) (*.f64 (pow.f64 (/.f64 1/2 x) 2) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 x) 3) (pow.f64 (*.f64 1/2 y) 3)) (*.f64 (*.f64 y x) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 1/2 y) (*.f64 1/2 (+.f64 x y)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (*.f64 x 2)) y) (*.f64 y (*.f64 x 2))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((/.f64 (+.f64 x (*.f64 (*.f64 y -2) 1/2)) (*.f64 x (*.f64 y 2))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 2) (*.f64 y 2)) (*.f64 (*.f64 y 2) (*.f64 x 2))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (*.f64 (*.f64 y -2) -1/2)) (*.f64 (*.f64 y 2) (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x -1/2) (*.f64 1/2 y)) (*.f64 y (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 2) -1/2) y) (*.f64 (*.f64 x 2) (neg.f64 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 -1/2 (neg.f64 x)) (*.f64 y -1/2)) (*.f64 (neg.f64 y) (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y))) (pow.f64 (/.f64 1/2 x) 2)) (+.f64 (/.f64 -1/2 x) (neg.f64 (/.f64 1/2 y)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (-.f64 x y))) (*.f64 y (neg.f64 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) 1/2) (+.f64 (/.f64 1 y) (/.f64 1 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) 1) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) x) y) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) 1) (*.f64 y x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (sqrt.f64 y)) (*.f64 x (sqrt.f64 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (*.f64 x (cbrt.f64 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (*.f64 y x))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 y))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) y) (sqrt.f64 x)) (sqrt.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (*.f64 x 2)) y) y) (*.f64 x 2)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) y) (neg.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x (*.f64 (*.f64 y -2) 1/2)) (*.f64 y 2)) x) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 2) (*.f64 y 2)) (*.f64 y 2)) (*.f64 x 2)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (neg.f64 x) (*.f64 (*.f64 y -2) -1/2)) (*.f64 y 2)) (neg.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x -1/2) (*.f64 1/2 y)) (neg.f64 y)) x) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 2) -1/2) y) (neg.f64 y)) (*.f64 x 2)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 -1/2 (neg.f64 x)) (*.f64 y -1/2)) (neg.f64 y)) (neg.f64 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)) 1) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x))) 2) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x))) 3) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)) 3) 1/3) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (neg.f64 (/.f64 1/2 y))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (-.f64 x y)) (*.f64 y (neg.f64 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)) 2)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x))))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)) 3)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)))) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 1 y) (/.f64 -1/2 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 -1/2 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 (/.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) #(struct:egraph-query ((-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f))) |
| 1× | egg-herbie |
| 1632× | distribute-lft-in |
| 1030× | associate-+r+ |
| 976× | associate-+l+ |
| 816× | +-commutative |
| 690× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 9163 |
| 1 | 1314 | 8607 |
| 2 | 5615 | 8419 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
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(/.f64 (-.f64 (*.f64 1/2 (*.f64 x 2)) y) (*.f64 y (*.f64 x 2))) |
(/.f64 (+.f64 x (*.f64 (*.f64 y -2) 1/2)) (*.f64 x (*.f64 y 2))) |
(/.f64 (-.f64 (*.f64 x 2) (*.f64 y 2)) (*.f64 (*.f64 y 2) (*.f64 x 2))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y -2) -1/2)) (*.f64 (*.f64 y 2) (neg.f64 x))) |
(/.f64 (+.f64 (*.f64 x -1/2) (*.f64 1/2 y)) (*.f64 y (neg.f64 x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x 2) -1/2) y) (*.f64 (*.f64 x 2) (neg.f64 y))) |
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 y -1/2)) (*.f64 (neg.f64 y) (neg.f64 x))) |
(/.f64 (+.f64 (neg.f64 (/.f64 1/4 (*.f64 y y))) (pow.f64 (/.f64 1/2 x) 2)) (+.f64 (/.f64 -1/2 x) (neg.f64 (/.f64 1/2 y)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) |
(/.f64 (neg.f64 (*.f64 1/2 (-.f64 x y))) (*.f64 y (neg.f64 x))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) 1/2) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) 1) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) 1) (*.f64 y x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 y)) (*.f64 x (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (*.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (*.f64 y x))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (*.f64 x 2)) y) y) (*.f64 x 2)) |
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (-.f64 x y))) y) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 y -2) 1/2)) (*.f64 y 2)) x) |
(/.f64 (/.f64 (-.f64 (*.f64 x 2) (*.f64 y 2)) (*.f64 y 2)) (*.f64 x 2)) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y -2) -1/2)) (*.f64 y 2)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 (*.f64 x -1/2) (*.f64 1/2 y)) (neg.f64 y)) x) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 2) -1/2) y) (neg.f64 y)) (*.f64 x 2)) |
(/.f64 (/.f64 (+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 y -1/2)) (neg.f64 y)) (neg.f64 x)) |
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (neg.f64 (/.f64 1/2 y))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) |
(neg.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(fma.f64 1/2 (/.f64 1 y) (/.f64 -1/2 x)) |
(fma.f64 1 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| Outputs |
|---|
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 -1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 -1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 -1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 -1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))))) |
(fma.f64 2 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))))) |
(fma.f64 2 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))))) |
(+.f64 (+.f64 (/.f64 1/2 y) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (neg.f64 (sqrt.f64 (/.f64 1/2 x))))) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)))) |
(+.f64 (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))) |
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) 2) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))))) |
(fma.f64 2 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) |
(+.f64 (/.f64 1/2 y) (+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (/.f64 -1 x) 1/2 (/.f64 1/2 x))))) |
(fma.f64 2 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) |
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))) |
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(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 1/4 (*.f64 y x)) (pow.f64 (/.f64 1/2 x) 2)))) |
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) |
(/.f64 (*.f64 1 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 y x)) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) |
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 1/4 (*.f64 y x)) (pow.f64 (/.f64 1/2 x) 2)))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) 1) (*.f64 y x)) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 y)) (*.f64 x (sqrt.f64 y))) |
(/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 x (sqrt.f64 y))) (/.f64 1/2 (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (*.f64 x (cbrt.f64 y))) |
(/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (*.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 1/2 (/.f64 (*.f64 x (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))) (-.f64 x y))) |
(*.f64 (/.f64 1/2 (*.f64 x (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))) (-.f64 x y)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (*.f64 y x))) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 x (sqrt.f64 y))) (/.f64 1/2 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (*.f64 x 2)) y) y) (*.f64 x 2)) |
(/.f64 (-.f64 (*.f64 1/2 (*.f64 x 2)) y) (*.f64 y (*.f64 x 2))) |
(/.f64 (-.f64 (*.f64 1 x) y) (*.f64 y (*.f64 x 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 1/2 (-.f64 x y))) y) (neg.f64 x)) |
(/.f64 (fma.f64 x -1/2 (*.f64 1/2 y)) (*.f64 y (neg.f64 x))) |
(*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 x y) (neg.f64 x))) |
(/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 y -2) 1/2)) (*.f64 y 2)) x) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 (*.f64 y x)))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x 2) (*.f64 y 2)) (*.f64 y 2)) (*.f64 x 2)) |
(/.f64 (*.f64 2 (-.f64 x y)) (*.f64 (*.f64 x 2) (*.f64 y 2))) |
(*.f64 (/.f64 2 y) (/.f64 (-.f64 x y) (*.f64 4 x))) |
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y -2) -1/2)) (*.f64 y 2)) (neg.f64 x)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 y 1)) (*.f64 y (*.f64 2 (neg.f64 x)))) |
(/.f64 (-.f64 y x) (*.f64 y (*.f64 -2 x))) |
(/.f64 (/.f64 (+.f64 (*.f64 x -1/2) (*.f64 1/2 y)) (neg.f64 y)) x) |
(/.f64 (fma.f64 x -1/2 (*.f64 1/2 y)) (*.f64 y (neg.f64 x))) |
(*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 x y) (neg.f64 x))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 2) -1/2) y) (neg.f64 y)) (*.f64 x 2)) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 y 1)) (*.f64 y (*.f64 2 (neg.f64 x)))) |
(/.f64 (-.f64 y x) (*.f64 y (*.f64 -2 x))) |
(/.f64 (/.f64 (+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 y -1/2)) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 y -1/2)) (neg.f64 (*.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 -1/2 (-.f64 y x)) (*.f64 y x)) |
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) 1/3) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(neg.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (neg.f64 (/.f64 1/2 y))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 -1/4 (*.f64 x x)))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) |
(/.f64 (+.f64 (/.f64 -1/4 (*.f64 y y)) (neg.f64 (/.f64 (/.f64 -1/4 x) x))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) |
(/.f64 (-.f64 (/.f64 -1/4 (*.f64 y y)) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) |
(neg.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 (/.f64 1/4 y) x) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/4 (*.f64 y x)) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2))))) |
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 y 3))) (-.f64 (/.f64 -1/4 (*.f64 y x)) (+.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 (/.f64 1/2 x) 2)))) |
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 y 3))) (+.f64 (/.f64 -1/4 (*.f64 y y)) (-.f64 (/.f64 -1/4 (*.f64 y x)) (pow.f64 (/.f64 1/2 x) 2)))) |
(neg.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 y (neg.f64 x)))) |
(/.f64 (fma.f64 x -1/2 (*.f64 1/2 y)) (*.f64 y (neg.f64 x))) |
(*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 x y) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2)) |
(fabs.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) |
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(fma.f64 1/2 (/.f64 1 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(fma.f64 1 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 76.0% | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1× | batch-egg-rewrite |
| 1912× | associate-*l/ |
| 614× | associate-/l/ |
| 588× | distribute-rgt-in |
| 554× | distribute-lft-in |
| 460× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 204 | 25 |
| 2 | 3079 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Outputs |
|---|
(((+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (fma.f64 (neg.f64 y) 1 y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 y (*.f64 x 2))) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 1 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 y (*.f64 x 2))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 1 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 y (*.f64 x 2))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 1 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (*.f64 1 (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2)))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (neg.f64 y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 y (*.f64 y (*.f64 x 2)))) (/.f64 x (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (*.f64 y (*.f64 x 2))) (neg.f64 y)) (/.f64 x (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x (*.f64 y (*.f64 x 2))) 1) (*.f64 (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2)))) 1)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((-.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (/.f64 y (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y) (*.f64 y (*.f64 x 2))))) 1) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 x y) (/.f64 1 (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 y (*.f64 x 2))) 1) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y) (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y) (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 x y) (*.f64 y (*.f64 x 2)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (/.f64 1 y)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2))) (-.f64 x y)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (+.f64 y (neg.f64 x)) (/.f64 1 (*.f64 x (*.f64 -2 y)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (/.f64 (-.f64 x y) (*.f64 y 2))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (-.f64 (/.f64 x (*.f64 y 2)) (/.f64 y (*.f64 y 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y) (*.f64 1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 2)) (/.f64 (-.f64 x y) y)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 2)) (-.f64 (/.f64 x y) (/.f64 y y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2)))) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2)))) (-.f64 (/.f64 x (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 y (sqrt.f64 (*.f64 y (*.f64 x 2)))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2))) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2))) 2)) (-.f64 (/.f64 x (cbrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 y (cbrt.f64 (*.f64 y (*.f64 x 2)))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x (*.f64 -2 y))) (+.f64 y (neg.f64 x))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y 2))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (-.f64 x y)) y)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) (*.f64 y (*.f64 x 2))) (sqrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) x) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y 2))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) y) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x 2))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (-.f64 x y)) y)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2)) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y)) 2) (*.f64 y (*.f64 x 2))) (cbrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x x) (*.f64 y y)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x x) (*.f64 y y)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 3) (pow.f64 y 3)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 3) (pow.f64 y 3)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))) 1) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2)))) 2) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2)))) 3) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))) 3) 1/3) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x 2) (/.f64 (-.f64 x y) y)) -1) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 x (*.f64 -2 y)))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))) 2)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2)))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))) 3)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) 3) (pow.f64 (*.f64 y (*.f64 x 2)) 3))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2)))) 1)) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 y (*.f64 x 2))))) #(struct:egraph-query ((/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f))) |
| 1× | egg-herbie |
| 1712× | associate-/r* |
| 1192× | distribute-lft-in |
| 1100× | distribute-rgt-in |
| 1068× | *-commutative |
| 626× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 2759 |
| 1 | 645 | 2505 |
| 2 | 2810 | 2467 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (fma.f64 (neg.f64 y) 1 y))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 1 (*.f64 y (*.f64 x 2))))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 1 (*.f64 y (*.f64 x 2))))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (/.f64 1 (*.f64 y (*.f64 x 2))))) |
(+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2))))) |
(+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (*.f64 1 (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2)))))) |
(+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (neg.f64 y))) |
(+.f64 (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2)))) (/.f64 x (*.f64 y (*.f64 x 2)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (neg.f64 y)) (/.f64 x (*.f64 y (*.f64 x 2)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 x 2))) 1) (*.f64 (neg.f64 (/.f64 y (*.f64 y (*.f64 x 2)))) 1)) |
(-.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (/.f64 y (*.f64 y (*.f64 x 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) 1) |
(*.f64 (-.f64 x y) (/.f64 1 (*.f64 y (*.f64 x 2)))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1) |
(*.f64 1 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) |
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (*.f64 y (*.f64 x 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (*.f64 y (*.f64 x 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (/.f64 1 y)) |
(*.f64 (/.f64 1 (*.f64 y (*.f64 x 2))) (-.f64 x y)) |
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 1 (*.f64 x (*.f64 -2 y)))) |
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x y) (*.f64 y 2))) |
(*.f64 (/.f64 1 x) (-.f64 (/.f64 x (*.f64 y 2)) (/.f64 y (*.f64 y 2)))) |
(*.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (-.f64 x y) x))) |
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (-.f64 x y) y)) |
(*.f64 (/.f64 1 (*.f64 x 2)) (-.f64 (/.f64 x y) (/.f64 y y))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 y (*.f64 x 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (-.f64 (/.f64 x (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 y (sqrt.f64 (*.f64 y (*.f64 x 2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 y (*.f64 x 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (-.f64 (/.f64 x (cbrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 y (cbrt.f64 (*.f64 y (*.f64 x 2)))))) |
(*.f64 (/.f64 1 (*.f64 x (*.f64 -2 y))) (+.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (-.f64 x y)) y)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 y (*.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) x) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) y) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (-.f64 x y)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 y (*.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 y (*.f64 x 2)) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 y (*.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 y (*.f64 x 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y)) -1) |
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 -2 y)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 y (*.f64 x 2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
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(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 y (*.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) y) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (*.f64 x x) (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (+.f64 x y)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 1 (*.f64 y (*.f64 x 2))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 x y) (*.f64 y (+.f64 x y)))))) (/.f64 (/.f64 1/2 x) y)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (*.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (*.f64 y (*.f64 x 2)))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3)) (/.f64 1 (*.f64 y (*.f64 x 2))))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y (+.f64 x y)) (fma.f64 y (+.f64 x y) (neg.f64 (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (/.f64 (/.f64 1/2 x) y)) (fma.f64 y (*.f64 (+.f64 x y) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))) (pow.f64 x 4))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (+.f64 x y)) 3))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (*.f64 (+.f64 x y) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))) (pow.f64 x 4))) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 3) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3) 1/3) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(pow.f64 (/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y)) -1) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 -2 y)))) |
(*.f64 (-.f64 y x) (/.f64 1 (*.f64 x (*.f64 y -2)))) |
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y -2))) |
(neg.f64 (-.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 2)) |
(fabs.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))) |
(fabs.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) |
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 y (*.f64 x 2)) 3))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 1)) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
Compiled 8171 to 5258 computations (35.7% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 3 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 356 | 4 | 360 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.9% | (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
| ▶ | 49.1% | (/.f64 1/2 y) |
| ▶ | 53.0% | (/.f64 -1/2 x) |
| ✓ | 100.0% | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
Compiled 30 to 22 computations (26.7% saved)
Compiled 7 to 5 computations (28.6% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| ✓ | 89.6% | (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
Compiled 29 to 13 computations (55.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| 1× | batch-egg-rewrite |
| 982× | associate-/r/ |
| 816× | associate-/l/ |
| 792× | swap-sqr |
| 610× | distribute-rgt-in |
| 580× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 206 | 44 |
| 2 | 3119 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
(/.f64 (*.f64 1/2 (-.f64 x y)) x) |
| Outputs |
|---|
(((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) 1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (/.f64 1 x) (pow.f64 y -1))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (-.f64 x y)) (/.f64 (/.f64 1 x) y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (pow.f64 y -1)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 y) (/.f64 (-.f64 x y) x)) 1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (pow.f64 y -1))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 (-.f64 x y) x))) (sqrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (pow.f64 y -1))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 (-.f64 x y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) 2)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 y) (/.f64 (-.f64 x y) x))) 2) (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 y -1) (*.f64 1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)) (/.f64 1 (neg.f64 y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y)) (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 y) (/.f64 x 1/2)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 y) (/.f64 x 1/2)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) y) (/.f64 1 x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) y) (*.f64 1/2 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y)) (*.f64 -1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule 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#<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) y) (/.f64 1/2 x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) y) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 2) y) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (sqrt.f64 y)) (/.f64 (/.f64 1 x) (sqrt.f64 y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (*.f64 (cbrt.f64 y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (/.f64 (-.f64 x y) x))) y) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (/.f64 (-.f64 x y) x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (/.f64 (-.f64 x y) x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (sqrt.f64 y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (/.f64 (-.f64 x y) x))) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (*.f64 x y)) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (*.f64 x y)) 1/2) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (*.f64 1/2 (-.f64 x y)))) (/.f64 1 x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2))) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) (*.f64 x y)) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (/.f64 (-.f64 x y) x))) 2) y) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 2) (*.f64 x y)) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) x) (*.f64 1/2 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) 1) (*.f64 1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (sqrt.f64 x)) (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 (-.f64 x y)) (cbrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (/.f64 x (-.f64 x y))) 1/2) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (neg.f64 x)) (*.f64 (-.f64 x y) -1/2)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (/.f64 x 1/2)) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (/.f64 x 1)) (*.f64 1/2 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (/.f64 x (sqrt.f64 (*.f64 1/2 (-.f64 x y))))) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y -1) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2))) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) x) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) 1) (/.f64 (-.f64 x y) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) (neg.f64 x)) (+.f64 y (neg.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) (/.f64 x 1)) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) (/.f64 x (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (pow.f64 y -1)) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)) 1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x))) 2) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x))) 3) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)) 3) 1/3) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 y (/.f64 x (*.f64 1/2 (-.f64 x y)))) -1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x y) (*.f64 (neg.f64 y) (/.f64 x 1/2)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 -1/2 (/.f64 (-.f64 x y) x)) (pow.f64 y -1))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 x 1/2))) 1)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)) (/.f64 1 (neg.f64 y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1 (/.f64 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 x 1/2))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 (pow.f64 y -1) (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 -1/2 (/.f64 (-.f64 x y) x)) y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)) 2)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)) 3)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)) 3) (pow.f64 y 3))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x))) 1)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 y) (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f))) |
(((+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 y) 1 y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 1/2 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 1/2 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y) (/.f64 1/2 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (*.f64 1/2 x)) (*.f64 (/.f64 1 x) (*.f64 1/2 (neg.f64 y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (*.f64 (neg.f64 y) 1/2))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 x) x) (*.f64 (/.f64 1/2 x) (neg.f64 y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 x) (neg.f64 y)) (*.f64 (/.f64 1/2 x) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 x) (/.f64 1 x)) (*.f64 (*.f64 1/2 (neg.f64 y)) (/.f64 1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 1/2) (/.f64 1 x)) (*.f64 (*.f64 (neg.f64 y) 1/2) (/.f64 1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((+.f64 (*.f64 x (/.f64 1/2 x)) (*.f64 (neg.f64 y) (/.f64 1/2 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 y) (/.f64 1/2 x)) (*.f64 x (/.f64 1/2 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x)))) 1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1/2 (/.f64 (-.f64 x y) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 1/2 (*.f64 (/.f64 1 x) (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 x y) (*.f64 1/2 (/.f64 1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (-.f64 x y) (/.f64 1/2 x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (-.f64 x y)) (/.f64 1 x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (-.f64 x y)) (neg.f64 (/.f64 -1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (/.f64 1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (-.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) (/.f64 1 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (*.f64 1/2 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) -1/2) (/.f64 -1 x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 -1/2 (/.f64 (-.f64 x y) x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 -1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) (neg.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x)) (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) 2)) (/.f64 (*.f64 1/2 (-.f64 x y)) (cbrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) x) 1/2) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 x) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 -1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x)))) (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 1/2 (/.f64 (-.f64 x y) x))) 2)) (neg.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (*.f64 (-.f64 x y) -1/2)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x) (-.f64 x y)) 1/2) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) x) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (cbrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) x)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) (sqrt.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (neg.f64 x)) (+.f64 y (neg.f64 x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (/.f64 x 1)) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (/.f64 x (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f)) ((*.f64 (/.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x 1/2)) (-.f64 x y)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x (sqrt.f64 (*.f64 1/2 (-.f64 x y))))) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 x (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2))) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule 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 1/2 (-.f64 x y))) 2) x) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 -1/2 (/.f64 (-.f64 x y) x)))) (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))))) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<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 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2))) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)) 1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x))) 2) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x))) 3) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)) 3) 1/3) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 x (*.f64 1/2 (-.f64 x y))) -1) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 -1/2 (/.f64 (-.f64 x y) x))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 -1/2 (/.f64 (-.f64 x y) x)) 1)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)) 2)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x))))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)) 3)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (-.f64 x y)) 3) (pow.f64 x 3))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x))) 1)) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-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 1/2 (/.f64 (-.f64 x y) x)))) #(struct:egraph-query ((/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) (/.f64 (*.f64 1/2 (-.f64 x y)) x)) (#<rule *-un-lft-identity> #<rule add-sqr-sqrt> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-exp-log> #<rule add-log-exp> #<rule pow1> #<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule +-commutative> #<rule *-commutative> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule count-2> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule flip-+> #<rule flip--> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-sub> #<rule times-frac> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sqr-neg> #<rule sqr-abs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-unmult> #<rule rem-exp-log> #<rule rem-log-exp> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule unpow-1> #<rule unpow1> #<rule unpow0> #<rule pow-base-1> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule pow-base-0> #<rule inv-pow> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule prod-diff> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same>) #f #f 8000 #f))) |
| 1× | egg-herbie |
| 790× | associate-*l* |
| 738× | associate-*r* |
| 670× | distribute-lft-neg-in |
| 562× | associate-/l* |
| 560× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 4405 |
| 1 | 1095 | 4177 |
| 2 | 5335 | 4169 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) 1) |
(*.f64 (*.f64 1/2 (-.f64 x y)) (*.f64 (/.f64 1 x) (pow.f64 y -1))) |
(*.f64 (*.f64 1/2 (-.f64 x y)) (/.f64 (/.f64 1 x) y)) |
(*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (pow.f64 y -1)) |
(*.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) 1) |
(*.f64 1 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (pow.f64 y -1))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) (sqrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (pow.f64 y -1))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) 2) (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(*.f64 (pow.f64 y -1) (*.f64 1/2 (/.f64 (-.f64 x y) x))) |
(*.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 y) (/.f64 x 1/2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 x y) (*.f64 (cbrt.f64 y) (/.f64 x 1/2)))) |
(*.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) y) (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 1 x) y) (*.f64 1/2 (-.f64 x y))) |
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 -1/2 (/.f64 (-.f64 x y) x))) |
(*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 1/2 x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) y) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) y) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) x)) |
(*.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 y)) (/.f64 (/.f64 1 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (*.f64 (cbrt.f64 y) x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) y) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 1/2 (*.f64 x y)) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 x y)) 1/2) |
(*.f64 (/.f64 1 (/.f64 y (*.f64 1/2 (-.f64 x y)))) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 y (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2))) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (*.f64 x y)) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) y) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) (*.f64 x y)) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 y -1) x) (*.f64 1/2 (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 y -1) 1) (*.f64 1/2 (/.f64 (-.f64 x y) x))) |
(*.f64 (/.f64 (pow.f64 y -1) (sqrt.f64 x)) (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 (-.f64 x y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 y -1) (/.f64 x (-.f64 x y))) 1/2) |
(*.f64 (/.f64 (pow.f64 y -1) (neg.f64 x)) (*.f64 (-.f64 x y) -1/2)) |
(*.f64 (/.f64 (pow.f64 y -1) (/.f64 x 1/2)) (-.f64 x y)) |
(*.f64 (/.f64 (pow.f64 y -1) (/.f64 x 1)) (*.f64 1/2 (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 y -1) (/.f64 x (sqrt.f64 (*.f64 1/2 (-.f64 x y))))) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 y -1) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2))) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) x) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) 1) (/.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) (neg.f64 x)) (+.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) (/.f64 x 1)) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) (/.f64 x (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 y -1)) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(pow.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) 3) 1/3) |
(pow.f64 (*.f64 y (/.f64 x (*.f64 1/2 (-.f64 x y)))) -1) |
(neg.f64 (/.f64 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 x 1/2)))) |
(neg.f64 (*.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)) (pow.f64 y -1))) |
(neg.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 x 1/2))) 1)) |
(neg.f64 (*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (/.f64 1 (neg.f64 y)))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 x 1/2))))) |
(neg.f64 (*.f64 (pow.f64 y -1) (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) |
(neg.f64 (/.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)) y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) x)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 y) 1 y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 1/2 x))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (/.f64 1/2 x))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y) (/.f64 1/2 x))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 1/2 x)) (*.f64 (/.f64 1 x) (*.f64 1/2 (neg.f64 y)))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 x 1/2)) (*.f64 (/.f64 1 x) (*.f64 (neg.f64 y) 1/2))) |
(+.f64 (*.f64 (/.f64 1/2 x) x) (*.f64 (/.f64 1/2 x) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 1/2 x) (neg.f64 y)) (*.f64 (/.f64 1/2 x) x)) |
(+.f64 (*.f64 (*.f64 1/2 x) (/.f64 1 x)) (*.f64 (*.f64 1/2 (neg.f64 y)) (/.f64 1 x))) |
(+.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 x)) (*.f64 (*.f64 (neg.f64 y) 1/2) (/.f64 1 x))) |
(+.f64 (*.f64 x (/.f64 1/2 x)) (*.f64 (neg.f64 y) (/.f64 1/2 x))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 1/2 x)) (*.f64 x (/.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) 1) |
(*.f64 1/2 (*.f64 (-.f64 x y) (/.f64 1 x))) |
(*.f64 1/2 (/.f64 (-.f64 x y) x)) |
(*.f64 1/2 (*.f64 (/.f64 1 x) (-.f64 x y))) |
(*.f64 (-.f64 x y) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 (-.f64 x y) (/.f64 1/2 x)) |
(*.f64 (*.f64 1/2 (-.f64 x y)) (/.f64 1 x)) |
(*.f64 (*.f64 1/2 (-.f64 x y)) (neg.f64 (/.f64 -1 x))) |
(*.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 1) |
(*.f64 1 (*.f64 1/2 (/.f64 (-.f64 x y) x))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/2 (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) -1/2) (/.f64 -1 x)) |
(*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) (neg.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 (-.f64 x y)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 (-.f64 x y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 x y) x) 1/2) |
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x))) |
(*.f64 (/.f64 1/2 x) (-.f64 x y)) |
(*.f64 -1 (*.f64 -1/2 (/.f64 (-.f64 x y) x))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2)) (neg.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) |
(*.f64 (/.f64 -1 x) (*.f64 (-.f64 x y) -1/2)) |
(*.f64 (*.f64 (/.f64 1 x) (-.f64 x y)) 1/2) |
(*.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (-.f64 x y) (sqrt.f64 x))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 x y) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) x) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 x y))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (/.f64 1/2 (neg.f64 x)) (+.f64 y (neg.f64 x))) |
(*.f64 (/.f64 1/2 (/.f64 x 1)) (-.f64 x y)) |
(*.f64 (/.f64 1/2 (/.f64 x (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y))) |
(*.f64 (/.f64 1 (/.f64 x 1/2)) (-.f64 x y)) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (*.f64 1/2 (-.f64 x y))))) (sqrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2))) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 x y))) 2) x) (cbrt.f64 (*.f64 1/2 (-.f64 x y)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))))) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2))) (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 1/2 (-.f64 x y))) -1) |
(neg.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x))) |
(neg.f64 (/.f64 (*.f64 -1/2 (/.f64 (-.f64 x y) x)) 1)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (-.f64 x y)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
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(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) 1)) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)))) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
Compiled 3147 to 1543 computations (51% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 209 | 0 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 209 | 4 | 213 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.9% | (/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
| ✓ | 49.1% | (/.f64 1/2 y) |
| ✓ | 53.0% | (/.f64 -1/2 x) |
| ✓ | 100.0% | (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
(/.f64 -1/2 x) |
(/.f64 1/2 y) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (/.f64 (*.f64 1/2 (-.f64 x y)) x) y) |
| Outputs |
|---|
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
3 calls:
| 6.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
Compiled 50 to 31 computations (38% saved)
Total -48.7b remaining (-374.3%)
Threshold costs -48.7b (-374.3%)
| Inputs |
|---|
(/.f64 -1/2 x) |
(/.f64 1/2 y) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
2 calls:
| 19.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 5 | x |
| 79.7% | 3 | y |
Compiled 14 to 10 computations (28.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 152.0ms | 1.2314969438368486e-43 | 1.7532826367742378e-34 |
| 12.0ms | -1.3431512955632064e-55 | -2.05824735280332e-57 |
| 154.0ms | 256× | body | 256 | valid |
Compiled 208 to 171 computations (17.8% saved)
| 1× | egg-herbie |
| 6× | sub-neg |
| 4× | +-commutative |
| 2× | neg-mul-1 |
| 2× | distribute-neg-frac |
| 2× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 65 |
| 1 | 27 | 65 |
| 2 | 35 | 65 |
| 3 | 37 | 65 |
| 4 | 38 | 65 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(if (<=.f64 y -7288244142210835/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 -1/2 x) (if (<=.f64 y 496910556692507/2923003274661805836407369665432566039311865085952) (/.f64 1/2 y) (/.f64 -1/2 x))) |
(/.f64 -1/2 x) |
| Outputs |
|---|
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(if (<=.f64 y -7288244142210835/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 -1/2 x) (if (<=.f64 y 496910556692507/2923003274661805836407369665432566039311865085952) (/.f64 1/2 y) (/.f64 -1/2 x))) |
(/.f64 -1/2 x) |
Compiled 33 to 25 computations (24.2% saved)
| 1168× | fma-neg |
| 1008× | *-commutative |
| 728× | associate-/r* |
| 654× | times-frac |
| 552× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 21 | 25 |
| 2 | 54 | 19 |
| 3 | 123 | 19 |
| 4 | 236 | 19 |
| 5 | 540 | 19 |
| 6 | 1123 | 19 |
| 7 | 3839 | 19 |
| 8 | 7748 | 19 |
| 1× | node limit |
Compiled 129 to 81 computations (37.2% saved)
Compiled 29 to 21 computations (27.6% saved)
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