
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 18.7% | 81.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 18.7% | 81.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 18.7% | 81.3% | 0% | 0% | 0% | 2 |
| 50% | 9.4% | 9.4% | 81.3% | 0% | 0% | 0% | 3 |
| 50% | 9.4% | 9.4% | 81.3% | 0% | 0% | 0% | 4 |
| 87.5% | 16.4% | 2.3% | 81.3% | 0% | 0% | 0% | 5 |
| 87.5% | 16.4% | 2.3% | 81.3% | 0% | 0% | 0% | 6 |
| 96.9% | 18.1% | 0.6% | 81.3% | 0% | 0% | 0% | 7 |
| 96.9% | 18.1% | 0.6% | 81.3% | 0% | 0% | 0% | 8 |
| 99.2% | 18.6% | 0.1% | 81.3% | 0% | 0% | 0% | 9 |
| 99.2% | 18.6% | 0.1% | 81.3% | 0% | 0% | 0% | 10 |
| 99.8% | 18.7% | 0% | 81.3% | 0% | 0% | 0% | 11 |
| 99.8% | 18.7% | 0% | 81.3% | 0% | 0% | 0% | 12 |
Compiled 27 to 17 computations (37% saved)
| 632.0ms | 8 256× | 0 | valid |
ival-mult: 156.0ms (36.6% of total)ival-add: 77.0ms (18.1% of total)ival-<: 61.0ms (14.3% of total)ival-div: 55.0ms (12.9% of total)ival-sub: 48.0ms (11.3% of total)ival-and: 16.0ms (3.8% of total)exact: 10.0ms (2.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 82 | 0 | - | 1 | (1.102130233578788e-157 1.3471195645275185e-163) | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x y) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) | o/o | 46 | 0 |
| ↳ | (*.f64 (-.f64 x y) (+.f64 x y)) | overflow | 46 | |
| ↳ | (*.f64 y y) | overflow | 46 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 46 | |
/.f64 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) | u/u | 35 | 0 |
| ↳ | (*.f64 (-.f64 x y) (+.f64 x y)) | underflow | 35 | |
| ↳ | (*.f64 y y) | underflow | 71 | |
| ↳ | (*.f64 x x) | underflow | 121 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 1 |
| - | 0 | 174 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 1 |
| - | 0 | 0 | 174 |
| number | freq |
|---|---|
| 0 | 175 |
| 1 | 81 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 191 to 49 computations (74.3% saved)
ival-mult: 10.0ms (47.6% of total)ival-add: 5.0ms (23.8% of total)ival-sub: 3.0ms (14.3% of total)ival-div: 3.0ms (14.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 83 |
| 1 | 94 | 83 |
| 2 | 301 | 75 |
| 3 | 799 | 75 |
| 4 | 2239 | 75 |
| 5 | 4876 | 75 |
| 6 | 5512 | 75 |
| 7 | 5947 | 75 |
| 8 | 6282 | 75 |
| 9 | 6355 | 75 |
| 10 | 6883 | 75 |
| 0 | 9 | 15 |
| 0 | 16 | 15 |
| 1 | 29 | 15 |
| 2 | 55 | 15 |
| 3 | 120 | 15 |
| 4 | 245 | 15 |
| 5 | 532 | 15 |
| 6 | 1278 | 15 |
| 7 | 2989 | 15 |
| 8 | 5193 | 15 |
| 9 | 6736 | 15 |
| 10 | 7289 | 15 |
| 11 | 7520 | 15 |
| 12 | 7616 | 15 |
| 13 | 7625 | 15 |
| 14 | 7625 | 15 |
| 15 | 7683 | 15 |
| 16 | 7687 | 15 |
| 17 | 7687 | 15 |
| 18 | 7687 | 15 |
| 19 | 7946 | 15 |
| 0 | 8006 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(abs y)
(abs x)
Compiled 15 to 9 computations (40% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 15 to 9 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 0 | 16 | 43 |
| 1 | 29 | 43 |
| 2 | 55 | 43 |
| 3 | 120 | 43 |
| 4 | 245 | 43 |
| 5 | 532 | 43 |
| 6 | 1278 | 43 |
| 7 | 2989 | 43 |
| 8 | 5193 | 43 |
| 9 | 6736 | 43 |
| 10 | 7289 | 43 |
| 11 | 7520 | 43 |
| 12 | 7616 | 43 |
| 13 | 7625 | 43 |
| 14 | 7625 | 43 |
| 15 | 7683 | 43 |
| 16 | 7687 | 43 |
| 17 | 7687 | 43 |
| 18 | 7687 | 43 |
| 19 | 7946 | 43 |
| 0 | 8006 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 y y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x y) (+.f64 x y)) | |
| accuracy | 20.101685804152265 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 18.0ms | 256× | 0 | valid |
Compiled 88 to 20 computations (77.3% saved)
ival-mult: 5.0ms (50% of total)ival-div: 2.0ms (20% of total)ival-add: 2.0ms (20% of total)ival-sub: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(-.f64 x y) |
(+.f64 x y) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
1 |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(+ x (* -1 y)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y)) |
| 1.0ms | x | @ | -inf | ((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y)) |
| 1.0ms | y | @ | inf | ((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 539 |
| 1 | 601 | 456 |
| 2 | 1963 | 415 |
| 3 | 7917 | 415 |
| 0 | 8909 | 386 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
1 |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(+ x (* -1 y)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
y |
(+ x y) |
(+.f64 y x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (*.f64 y y)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
#s(literal -1 binary64) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
#s(literal -1 binary64) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 41 |
| 0 | 16 | 41 |
| 1 | 66 | 41 |
| 2 | 551 | 41 |
| 0 | 8160 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(-.f64 x y) |
(+.f64 x y) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 x y) y) (-.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) (-.f64 x y)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) |
(*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x y))) (+.f64 y x)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 y x)) (neg.f64 (-.f64 x y))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 x y)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 x (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) y (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (*.f64 y (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 (neg.f64 y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (+.f64 y x) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) y)) |
(fma.f64 (*.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 y (+.f64 y x)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 x y) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 x y) y))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 y)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) y) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x) (*.f64 (-.f64 x y) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 x (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 y (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) (*.f64 (-.f64 x y) y)) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y) (*.f64 (-.f64 x y) x)) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 x (+.f64 y x)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 y (+.f64 y x)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (neg.f64 y) (+.f64 y x) (*.f64 (+.f64 y x) x)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 y x)) (*.f64 (+.f64 y x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (-.f64 x y) y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (-.f64 x y) x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (+.f64 y x) (neg.f64 y) (*.f64 (+.f64 y x) x)) |
(fma.f64 (+.f64 y x) x (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x)) |
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y)) |
(fma.f64 y (neg.f64 y) (*.f64 x x)) |
(fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x)) |
(fma.f64 y x (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x))) |
(fma.f64 x (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y)) |
(fma.f64 x y (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x))) |
(fma.f64 x x (fma.f64 (neg.f64 x) y (*.f64 (-.f64 x y) y))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 x x (*.f64 (neg.f64 y) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (-.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) (*.f64 (neg.f64 y) x)) |
(+.f64 (fma.f64 (-.f64 x y) x (*.f64 y x)) (*.f64 (neg.f64 y) y)) |
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 y x) y))) |
(+.f64 (*.f64 (neg.f64 y) (+.f64 y x)) (*.f64 (+.f64 y x) x)) |
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)) |
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y)) |
(+.f64 (*.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x y) x))) |
(+.f64 (*.f64 x x) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 x y) y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 26 295 to 2 633 computations (90% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 853 | 8 | 861 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 854 | 8 | 862 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
| ▶ | 44.1% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
| 25.7% | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y))) | |
| 68.3% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) | |
| ▶ | 34.5% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| 32.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) | |
| ▶ | 67.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
Compiled 304 to 182 computations (40.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 206 |
| 0 | 49 | 201 |
| 1 | 84 | 201 |
| 2 | 151 | 201 |
| 3 | 278 | 201 |
| 4 | 465 | 201 |
| 5 | 874 | 201 |
| 6 | 1935 | 201 |
| 7 | 4748 | 201 |
| 0 | 8339 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
#s(literal -1 binary64) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) y) x) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
x |
(/.f64 y x) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
#s(literal -1 binary64) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) y) x) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
x |
(/.f64 y x) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x y) (+.f64 x y)) | |
| accuracy | 20.101685804152265 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.170253759768442 | (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 41.90203322634796 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x y) (+.f64 x y)) | |
| accuracy | 14.76107583795493 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| accuracy | 20.101685804152265 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| accuracy | 20.914134957947212 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 x y) x) | |
| accuracy | 19.757928208783447 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| 89.0ms | 256× | 0 | valid |
Compiled 386 to 60 computations (84.5% saved)
ival-mult: 34.0ms (66.5% of total)ival-div: 9.0ms (17.6% of total)ival-add: 5.0ms (9.8% of total)ival-sub: 2.0ms (3.9% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(-.f64 x y) |
(+.f64 x y) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) y) x) |
(*.f64 #s(literal -2 binary64) y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 y y) |
(/.f64 y x) |
(*.f64 x x) |
| Outputs |
|---|
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(/ (pow x 2) y) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* -2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -2 (/ y x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(/ y x) |
(pow x 2) |
1 |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(/ 2 y) |
(+ x (* -1 y)) |
(* -2 y) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (/ y x) (* x x)) |
| 3.0ms | x | @ | inf | ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (/ y x) (* x x)) |
| 3.0ms | y | @ | inf | ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (/ y x) (* x x)) |
| 3.0ms | y | @ | -inf | ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (/ y x) (* x x)) |
| 3.0ms | y | @ | 0 | ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (- x y) (+ x y)) (* y y) (/ y x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 622 |
| 1 | 625 | 528 |
| 2 | 2020 | 484 |
| 0 | 8271 | 454 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(/ (pow x 2) y) |
(* -1 y) |
(- x y) |
y |
(+ x y) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* -2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -2 (/ y x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(/ y x) |
(pow x 2) |
1 |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(/ 2 y) |
(+ x (* -1 y)) |
(* -2 y) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) 1)) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 x x) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
y |
(+ x y) |
(+.f64 y x) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(* -2 (/ (pow y 2) (pow x 2))) |
(/.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal -2 binary64)) x) |
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 y y) (*.f64 x x)) x) x) |
(* -2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -2 binary64)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(/ y x) |
(/.f64 y x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* 2 (/ (pow x 2) (pow y 2))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 2 binary64)) y) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -2 y) |
(*.f64 #s(literal -2 binary64) y) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
#s(literal -1 binary64) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
#s(literal -1 binary64) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 177 |
| 0 | 49 | 172 |
| 1 | 184 | 172 |
| 2 | 1400 | 170 |
| 0 | 8227 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(-.f64 x y) |
(+.f64 x y) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) y) x) |
(*.f64 #s(literal -2 binary64) y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 y y) |
(/.f64 y x) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 x y)))) (-.f64 x y) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 y (+.f64 y x)) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 x (+.f64 y x)) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 (*.f64 y y))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 y (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) x)) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 y y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) (neg.f64 y))) |
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x)) |
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y)) |
(fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x)) |
(fma.f64 x (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x))) |
(fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(fma.f64 x x (*.f64 (neg.f64 y) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 x (+.f64 y x)) (*.f64 (neg.f64 y) (+.f64 y x))) |
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) (neg.f64 y))) |
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)) |
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y)) |
(+.f64 (*.f64 x x) (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 29 720 to 2 456 computations (91.7% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 901 | 4 | 905 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 903 | 10 | 913 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
| ▶ | 25.7% | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
| 68.3% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) | |
| ▶ | 44.7% | (*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
| ▶ | 44.7% | (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
| ✓ | 34.5% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
| ✓ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| ▶ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
| ▶ | 32.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
| ✓ | 67.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
Compiled 317 to 189 computations (40.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (- x y) (+ x y)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 252 |
| 0 | 48 | 236 |
| 1 | 83 | 236 |
| 2 | 158 | 236 |
| 3 | 313 | 236 |
| 4 | 579 | 236 |
| 5 | 1226 | 236 |
| 6 | 2773 | 236 |
| 7 | 5377 | 236 |
| 0 | 8098 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(+.f64 y x) |
y |
x |
(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(-.f64 x y) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(+.f64 y x) |
y |
x |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(-.f64 x y) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
#s(approx (* (- x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 y y (*.f64 x x)) |
y |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(+.f64 y x) |
y |
x |
(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(-.f64 x y) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(+.f64 y x) |
y |
x |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(-.f64 x y) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
#s(approx (* (- x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 y y (*.f64 x x)) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 20.101685804152265 | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 38.46749307738678 | #s(approx (* (- x y) (+ x y)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) | |
| accuracy | 14.76107583795493 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| accuracy | 19.587337756347853 | (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.17578125 | (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| accuracy | 14.76107583795493 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| accuracy | 19.5990564969157 | (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| accuracy | 43.32488918574804 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) | |
| accuracy | 0.08203125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) | |
| accuracy | 0.171875 | (*.f64 (/.f64 x y) x) | |
| accuracy | 19.757928208783447 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
| 92.0ms | 256× | 0 | valid |
Compiled 462 to 60 computations (87% saved)
ival-mult: 45.0ms (59.4% of total)ival-div: 23.0ms (30.4% of total)ival-add: 5.0ms (6.6% of total)ival-sub: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(+.f64 y x) |
(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(-.f64 x y) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
#s(approx (* (- x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 (/.f64 x y) x) |
(*.f64 y y) |
| Outputs |
|---|
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* -2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
y |
(+ x y) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 y) |
(- x y) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(/ (pow x 2) y) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
1 |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2)) |
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2)) |
x |
(* x (+ 1 (/ y x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (+ 1 (/ y x)) x) |
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ x (* -1 y)) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2))))) |
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4)))))) |
(* y (+ 1 (/ x y))) |
(/ (- (/ x y) 1) y) |
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y) |
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y) |
(* y (- (/ x y) 1)) |
(/ (+ 1 (/ x y)) y) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | inf | ((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ x y) x) (* y y)) |
| 4.0ms | y | @ | 0 | ((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ x y) x) (* y y)) |
| 2.0ms | x | @ | 0 | ((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ x y) x) (* y y)) |
| 2.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ x y) x) (* y y)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (* (/ x y) x) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 1481 |
| 1 | 1289 | 1354 |
| 2 | 3798 | 1278 |
| 0 | 9006 | 1208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* -2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
y |
(+ x y) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 y) |
(- x y) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(/ (pow x 2) y) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
1 |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2)) |
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2)) |
x |
(* x (+ 1 (/ y x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (+ 1 (/ y x)) x) |
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ x (* -1 y)) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2))))) |
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4)))))) |
(* y (+ 1 (/ x y))) |
(/ (- (/ x y) 1) y) |
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y) |
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y) |
(* y (- (/ x y) 1)) |
(/ (+ 1 (/ x y)) y) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(- (* -2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
y |
(+ x y) |
(+.f64 y x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* 2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x) x) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) y) |
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 x x)) |
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 x x)) |
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (*.f64 x x)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x) |
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (+ 1 (/ y x)) x) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) x)) (neg.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (neg.f64 y) y)) y) y) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y)) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
#s(literal -1 binary64) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y) |
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) |
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ 1 (/ x y)) y) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
#s(literal -1 binary64) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal -1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 214 |
| 0 | 48 | 199 |
| 1 | 193 | 199 |
| 2 | 1546 | 199 |
| 0 | 8441 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(+.f64 y x) |
(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(-.f64 x y) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
#s(approx (* (- x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 (/.f64 x y) x) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) x)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y)) x #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) y) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) y) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 x x) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 x (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 38 494 to 3 231 computations (91.6% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 096 | 4 | 1 100 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 096 | 14 | 1 110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
| ✓ | 25.7% | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
| ▶ | 68.3% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
| ✓ | 44.7% | (*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
| ✓ | 44.7% | (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
| ▶ | 67.5% | (*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) |
| ▶ | 67.5% | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
| ▶ | 68.2% | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
| ✓ | 34.5% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
| ✓ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| ▶ | 61.5% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
| ✓ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
| ✓ | 32.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
| ✓ | 67.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
Compiled 450 to 264 computations (41.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) | |
| cost-diff | 704 | (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 6336 | (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) | |
| cost-diff | 0 | #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) | |
| cost-diff | 6336 | (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 425 |
| 0 | 75 | 418 |
| 1 | 144 | 411 |
| 2 | 322 | 411 |
| 3 | 796 | 411 |
| 4 | 2105 | 411 |
| 5 | 5111 | 395 |
| 0 | 8116 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(+.f64 y x) |
y |
x |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(-.f64 x y) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.f64 x y) |
x |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(fma.f64 (neg.f64 x) (/.f64 x y) x) |
(neg.f64 x) |
(-.f64 x y) |
(*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) |
(+.f64 y x) |
y |
x |
#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(-.f64 x y) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.f64 x y) |
x |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) y)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) |
(/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) y) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(fma.f64 (neg.f64 x) (/.f64 x y) x) |
(neg.f64 x) |
(-.f64 x y) |
(*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) |
(*.f64 #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) y)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) |
#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) y) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) | |
| accuracy | 0.3093338867581883 | (pow.f64 (/.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 2.761696044132264 | (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) | |
| accuracy | 20.73496036397789 | #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) | |
| accuracy | 0.10546875 | (fma.f64 (neg.f64 x) (/.f64 x y) x) | |
| accuracy | 0.1484375 | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) | |
| accuracy | 0.3093338867581883 | (pow.f64 (/.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 20.739023104032576 | #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) | |
| accuracy | 0.01953125 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 0.16416778093522422 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 15.60864574505002 | (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) | |
| accuracy | 19.757928208783447 | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.1484375 | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) | |
| accuracy | 20.23334784588669 | #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) | |
| accuracy | 19.587337756347853 | (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
| 172.0ms | 256× | 0 | valid |
Compiled 760 to 88 computations (88.4% saved)
ival-div: 73.0ms (47.9% of total)ival-mult: 41.0ms (26.9% of total)ival-pow: 19.0ms (12.5% of total)ival-add: 13.0ms (8.5% of total)ival-sub: 5.0ms (3.3% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(+.f64 y x) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(-.f64 x y) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 x y) x) |
#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) |
| Outputs |
|---|
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* -1 y) |
(- x y) |
(* 2 (pow x 2)) |
(pow x 2) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))) |
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(- (/ x y) 1) |
(- (* x (+ (/ 1 y) (/ x (pow y 2)))) 1) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ (pow x 3) (pow y 3)) |
x |
(* x (+ 1 (* -1 (/ x y)))) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(/ 1 x) |
(/ (+ 1 (/ y x)) x) |
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* -1 (/ (pow x 3) (pow y 3))) |
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(* -1 (/ (pow x 3) (pow y 4))) |
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))) |
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3)))) |
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* (pow x 2) (- (+ (/ 1 (* x y)) (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ x (* -1 y)) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* -1 (pow x 2)) (* y (+ x y)))) (pow x 3)) (pow y 3)) |
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4)) |
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4)) |
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4)) |
(/ (- (* (pow x 2) y) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* y (+ x (* -1 y))) (pow x 2))) (pow x 3)) (pow y 3)) |
(/ (+ (* x y) (pow x 2)) (pow y 2)) |
(/ (+ (* y (+ x (* -1 y))) (pow x 2)) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ (+ (* -1 (pow x 2)) (* x y)) y) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (+ 1 (/ x y)) y) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (- (/ x y) 1)) |
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y) |
(- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) |
(- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1) |
(+ x (* -1 (/ (pow x 2) y))) |
(/ (- (/ x y) 1) y) |
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y) |
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y))) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y)) |
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) 1) |
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) 1) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | ((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 y) (- x y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ 1 (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (- x y) (+ (* x x) (* y y)))) |
| 4.0ms | x | @ | inf | ((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 y) (- x y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ 1 (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (- x y) (+ (* x x) (* y y)))) |
| 3.0ms | x | @ | -inf | ((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 y) (- x y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ 1 (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (- x y) (+ (* x x) (* y y)))) |
| 3.0ms | y | @ | -inf | ((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 y) (- x y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ 1 (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (- x y) (+ (* x x) (* y y)))) |
| 3.0ms | y | @ | 0 | ((* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 y) (- x y) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ 1 (* y y)) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x) (/ (- x y) (+ (* x x) (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 490 | 2049 |
| 1 | 1521 | 1903 |
| 2 | 4740 | 1787 |
| 0 | 8222 | 1722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* -1 y) |
(- x y) |
(* 2 (pow x 2)) |
(pow x 2) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))) |
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(- (/ x y) 1) |
(- (* x (+ (/ 1 y) (/ x (pow y 2)))) 1) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ (pow x 3) (pow y 3)) |
x |
(* x (+ 1 (* -1 (/ x y)))) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(/ 1 x) |
(/ (+ 1 (/ y x)) x) |
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* 2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* -1 (/ (pow x 3) (pow y 3))) |
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(* -1 (/ (pow x 3) (pow y 4))) |
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))) |
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3)))) |
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(* (pow x 2) (- (+ (/ 1 (* x y)) (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ x (* -1 y)) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(/ (- (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* -1 (pow x 2)) (* y (+ x y)))) (pow x 3)) (pow y 3)) |
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4)) |
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4)) |
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4)) |
(/ (- (* (pow x 2) y) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 3)) |
(/ (- (* y (+ (* y (+ x (* -1 y))) (pow x 2))) (pow x 3)) (pow y 3)) |
(/ (+ (* x y) (pow x 2)) (pow y 2)) |
(/ (+ (* y (+ x (* -1 y))) (pow x 2)) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ (+ (* -1 (pow x 2)) (* x y)) y) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (+ 1 (/ x y)) y) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (- (/ x y) 1)) |
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y) |
(- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) |
(- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1) |
(+ x (* -1 (/ (pow x 2) y))) |
(/ (- (/ x y) 1) y) |
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y) |
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y))) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y)) |
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) 1) |
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) 1) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
y |
(+ x y) |
(+.f64 x y) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(- (/ x y) 1) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(- (* x (+ (/ 1 y) (/ x (pow y 2)))) 1) |
(fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/ (pow x 3) (pow y 3)) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
x |
(* x (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) |
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ y x)) (/ y x))) |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ y x)) x) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* 2 (/ (pow x 2) (pow y 2))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) y) y) |
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x)) |
(* -1 (/ (pow x 3) (pow y 3))) |
(neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x y) y)))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (pow x 3) (pow y 4))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x y) y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 x y))) |
(* (pow x 2) (- (+ (/ 1 (* x y)) (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x)) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 x (neg.f64 y)) x) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x) |
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x)) #s(literal 1 binary64)) x) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x y)) (/ 1 (pow x 2))) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) x) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x y) y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 4))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x))) |
(* -1 (* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x y) y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)) x) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)) x) x) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 y (/.f64 y x) y)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) x) |
(+ 1 (* -2 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (neg.f64 y) y)) y) y) |
(/ (- (* -1 (* (pow x 2) y)) (pow x 3)) (pow y 3)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (* y (+ (* -1 (pow x 2)) (* x y))) (pow x 3)) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (+.f64 x y) (*.f64 (*.f64 x y) y)) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (* y (+ (* -1 (pow x 2)) (* y (+ x y)))) (pow x 3)) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) y) y)) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -1 (* (pow x 2) y)) (* -1 (pow x 3))) (pow y 4)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (+.f64 x y)) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* x y)))) (pow y 4)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (+.f64 x y) (*.f64 (*.f64 x y) y)) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1 (pow x 3)) (* y (+ (* -1 (pow x 2)) (* y (+ x y))))) (pow y 4)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) y) y)) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (* (pow x 2) y) (pow x 3)) (pow y 3)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 y x)) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 3)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x y)) y) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (* y (+ (* y (+ x (* -1 y))) (pow x 2))) (pow x 3)) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) y) y (*.f64 (*.f64 x x) (-.f64 y x))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* x y) (pow x 2)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) y) |
(/ (+ (* y (+ x (* -1 y))) (pow x 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) y) y) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (+ (* -1 (pow x 2)) (* x y)) y) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 x y)) y) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (/ x y)) (/ x y)) 1) |
#s(literal -1 binary64) |
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/ (+ 1 (/ x y)) y) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) y) |
(/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1) |
(-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(+ x (* -1 (/ (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) y) |
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(- (* -1 (/ (+ x (* -1 x)) y)) 1) |
#s(literal -1 binary64) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y))) |
(+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y) |
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 338 |
| 0 | 75 | 325 |
| 1 | 323 | 319 |
| 2 | 3147 | 319 |
| 0 | 8454 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(+.f64 y x) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(-.f64 x y) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 x y) x) |
#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) |
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(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (neg.f64 (log.f64 y)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -3/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 x y))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 x y))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (*.f64 x x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (/.f64 y x) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (/.f64 x y) x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 x y)) y) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 x y)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x)) y) |
(/.f64 (*.f64 (/.f64 x y) (*.f64 x x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) y) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 x y) x))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (*.f64 y (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (/.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 y x) (*.f64 y y))) |
(/.f64 (*.f64 x (*.f64 (/.f64 x y) x)) (*.f64 y y)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 x y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (-.f64 x (*.f64 (neg.f64 x) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))) (-.f64 x (*.f64 (neg.f64 x) (/.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 x y) x)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 x y) x))))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) x x) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 x) (/.f64 x y) x) |
(fma.f64 (/.f64 x y) (neg.f64 x) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) x) x) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) x) |
(fma.f64 x (neg.f64 (/.f64 x y)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (-.f64 x (*.f64 (neg.f64 x) (/.f64 x y))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)))) |
(-.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x y)) x) |
(+.f64 x (*.f64 (neg.f64 x) (/.f64 x y))) |
#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)) |
Compiled 40 834 to 4 327 computations (89.4% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 027 | 5 | 1 032 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 7 | 9 |
| Total | 1 032 | 14 | 1 046 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
| ✓ | 25.7% | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
| ✓ | 68.3% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
| 67.5% | (*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x)) y)) y))) | |
| 33.9% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) | |
| 67.5% | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x)) y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) | |
| ✓ | 68.2% | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
| 67.2% | (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) | |
| ✓ | 34.5% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
| ✓ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| 62.6% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) | |
| ✓ | 69.1% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
| ✓ | 32.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
| ✓ | 67.3% | #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
Compiled 852 to 291 computations (65.8% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x)) y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
(*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x)) y)) y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y)) |
(*.f64 (+.f64 y x) #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
3 calls:
| 9.0ms | y |
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | x |
| 95.8% | 4 | y |
| 92.8% | 2 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 17 to 13 computations (23.5% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
2 calls:
| 5.0ms | y |
| 4.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 3 | y |
| 91.9% | 2 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
2 calls:
| 7.0ms | y |
| 3.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 3 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 85.1% | 2 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
1 calls:
| 3.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
1 calls:
| 2.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) #s(approx (- x y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 15 to 9 computations (40% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 1 | x |
| 67.3% | 1 | y |
| 67.3% | 1 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
Compiled 18 to 14 computations (22.2% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.050997886360062e-21 | 4.107564635647351e-21 |
| 14.0ms | 6.301638417654631e-161 | 6.04031296167808e-160 |
| 11.0ms | 160× | 0 | valid |
Compiled 382 to 254 computations (33.5% saved)
ival-mult: 3.0ms (47.8% of total)ival-sub: 1.0ms (15.9% of total)ival-div: 1.0ms (15.9% of total)ival-add: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | -0.8401658467168068 | 0.6817695091938704 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | -0.8401658467168068 | 0.6817695091938704 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | -0.8401658467168068 | 0.6817695091938704 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | -0.8401658467168068 | 0.6817695091938704 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | -0.8401658467168068 | 0.6817695091938704 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | -0.8401658467168068 | 0.6817695091938704 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 733 |
| 1 | 82 | 733 |
| 2 | 85 | 733 |
| 3 | 87 | 733 |
| 4 | 88 | 733 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 8104522595470689/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5316911983139663/1329227995784915872903807060280344576 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 8104522595470689/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5316911983139663/1329227995784915872903807060280344576 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))) |
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 1481 |
| 1 | 1289 | 1354 |
| 2 | 3798 | 1278 |
| 0 | 9006 | 1208 |
| 0 | 46 | 338 |
| 0 | 75 | 325 |
| 1 | 323 | 319 |
| 2 | 3147 | 319 |
| 0 | 8454 | 313 |
| 0 | 33 | 177 |
| 0 | 49 | 172 |
| 1 | 184 | 172 |
| 2 | 1400 | 170 |
| 0 | 8227 | 168 |
| 0 | 9 | 41 |
| 0 | 16 | 41 |
| 1 | 66 | 41 |
| 2 | 551 | 41 |
| 0 | 8160 | 39 |
| 0 | 189 | 539 |
| 1 | 601 | 456 |
| 2 | 1963 | 415 |
| 3 | 7917 | 415 |
| 0 | 8909 | 386 |
| 0 | 202 | 622 |
| 1 | 625 | 528 |
| 2 | 2020 | 484 |
| 0 | 8271 | 454 |
| 0 | 32 | 214 |
| 0 | 48 | 199 |
| 1 | 193 | 199 |
| 2 | 1546 | 199 |
| 0 | 8441 | 199 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 537 to 504 computations (67.2% saved)
(abs x)
Compiled 1 970 to 378 computations (80.8% saved)
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