
Time bar (total: 14.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 6 |
| 78.1% | 78% | 21.9% | 0.1% | 0% | 0% | 0% | 7 |
| 82.8% | 82.7% | 17.2% | 0.1% | 0% | 0% | 0% | 8 |
| 88.3% | 88.2% | 11.7% | 0.1% | 0% | 0% | 0% | 9 |
| 91% | 90.9% | 9% | 0.1% | 0% | 0% | 0% | 10 |
| 93.9% | 93.9% | 6% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 745.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 3 | valid |
ival-div: 235.0ms (51.7% of total)ival-mult: 126.0ms (27.7% of total)ival-add: 41.0ms (9% of total)ival-sub: 36.0ms (7.9% of total)exact: 8.0ms (1.8% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)adjust: 0.0ms (0% of total)| 2× | egg-herbie |
| 384× | accelerator-lowering-fma.f32 |
| 384× | accelerator-lowering-fma.f64 |
| 272× | *-lowering-*.f32 |
| 272× | *-lowering-*.f64 |
| 226× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 74 |
| 1 | 65 | 72 |
| 2 | 132 | 68 |
| 3 | 267 | 66 |
| 4 | 602 | 66 |
| 5 | 1047 | 66 |
| 6 | 1183 | 66 |
| 7 | 1211 | 66 |
| 8 | 1221 | 66 |
| 9 | 1225 | 66 |
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 28 | 11 |
| 3 | 43 | 11 |
| 4 | 85 | 11 |
| 5 | 158 | 11 |
| 6 | 279 | 11 |
| 7 | 375 | 11 |
| 8 | 584 | 11 |
| 9 | 674 | 11 |
| 10 | 796 | 11 |
| 11 | 832 | 11 |
| 12 | 991 | 11 |
| 13 | 1000 | 11 |
| 0 | 1000 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
| Outputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| Inputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))) |
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))) |
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))) |
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))) |
(- y (/ x (+ 1 (/ (* y x) 2)))) |
| Outputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
(+ x (/ y (+ (* x (* y -1/2)) -1))) |
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))) |
(- (/ y (+ (* x (* y 1/2)) -1)) x) |
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))) |
(+ x (/ y (+ 1 (* x (* y -1/2))))) |
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))) |
(+ x (/ y (+ 1 (* x (* y -1/2))))) |
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))) |
(- (/ y (+ (* x (* y 1/2)) -1)) x) |
(- y (/ x (+ 1 (/ (* y x) 2)))) |
(+ y (/ x (+ (* x (* y -1/2)) -1))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 0 | - | (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 84.0ms | 512× | 0 | valid |
Compiled 108 to 40 computations (63% saved)
ival-div: 33.0ms (49% of total)ival-mult: 28.0ms (41.6% of total)ival-sub: 2.0ms (3% of total)ival-add: 2.0ms (3% of total)exact: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 384× | accelerator-lowering-fma.f32 |
| 384× | accelerator-lowering-fma.f64 |
| 272× | *-lowering-*.f32 |
| 272× | *-lowering-*.f64 |
| 226× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 1 | 17 | 39 |
| 2 | 28 | 39 |
| 3 | 43 | 39 |
| 4 | 85 | 39 |
| 5 | 158 | 39 |
| 6 | 279 | 39 |
| 7 | 375 | 39 |
| 8 | 584 | 39 |
| 9 | 674 | 39 |
| 10 | 796 | 39 |
| 11 | 832 | 39 |
| 12 | 991 | 39 |
| 13 | 1000 | 39 |
| 0 | 1000 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
x |
(/ y (+ 1 (/ (* x y) 2))) |
y |
(+ 1 (/ (* x y) 2)) |
1 |
(/ (* x y) 2) |
(* x y) |
2 |
| Outputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
x |
(/ y (+ 1 (/ (* x y) 2))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
y |
(+ 1 (/ (* x y) 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (* x y) 2) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(* x y) |
(*.f64 x y) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| ✓ | accuracy | 92.5% | (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
| 18.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-div: 5.0ms (48.8% of total)ival-mult: 2.0ms (19.5% of total)ival-sub: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x (/ y (+ 1 (/ (* x y) 2))))> |
#<alt (/ y (+ 1 (/ (* x y) 2)))> |
#<alt (+ 1 (/ (* x y) 2))> |
#<alt (/ (* x y) 2)> |
#<alt (* x y)> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)> |
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)> |
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))> |
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))> |
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))> |
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))> |
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)> |
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)> |
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* x (+ (* 1/2 y) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 y) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 y) (/ 1 x)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* y (+ (* 1/2 x) (/ 1 y)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 y)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (- x (/ y (+ 1 (/ (* x y) 2)))) |
| 0.0ms | x | @ | inf | (- x (/ y (+ 1 (/ (* x y) 2)))) |
| 0.0ms | y | @ | -inf | (- x (/ y (+ 1 (/ (* x y) 2)))) |
| 0.0ms | x | @ | 0 | (- x (/ y (+ 1 (/ (* x y) 2)))) |
| 0.0ms | x | @ | -inf | (/ y (+ 1 (/ (* x y) 2))) |
| 1× | batch-egg-rewrite |
| 5 754× | accelerator-lowering-fma.f32 |
| 5 754× | accelerator-lowering-fma.f64 |
| 4 124× | *-lowering-*.f32 |
| 4 124× | *-lowering-*.f64 |
| 2 962× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 58 | 35 |
| 2 | 495 | 35 |
| 3 | 6876 | 35 |
| 0 | 8530 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y (+ 1 (/ (* x y) 2)))) |
(/ y (+ 1 (/ (* x y) 2))) |
(+ 1 (/ (* x y) 2)) |
(/ (* x y) 2) |
(* x y) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (neg.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))) |
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))) (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(fma.f64 x (/.f64 x (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (neg.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) |
(*.f64 (+.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 4 binary64) (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 #s(literal -4 binary64) (*.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 #s(literal -4 binary64) (*.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 #s(literal -4 binary64) (*.f64 x y)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x y)) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64))) |
(/.f64 x (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 y #s(literal 2 binary64))) |
(*.f64 x (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 y (/.f64 x #s(literal 2 binary64))) |
(*.f64 y (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) |
(*.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y) |
| 1× | egg-herbie |
| 13 558× | accelerator-lowering-fma.f32 |
| 13 558× | accelerator-lowering-fma.f64 |
| 4 930× | *-lowering-*.f32 |
| 4 930× | *-lowering-*.f64 |
| 1 854× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1053 |
| 1 | 738 | 1018 |
| 2 | 1941 | 987 |
| 3 | 6067 | 981 |
| 0 | 8421 | 934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* 1/2 (* x y)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* 1/2 (* x y)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* 1/2 (* x y)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(+.f64 y (*.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal 1/4 binary64))))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+.f64 y (*.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal 1/4 binary64))))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(+.f64 y (*.f64 x (+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal 1/4 binary64)))))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (*.f64 x x))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -8 binary64) (*.f64 y y))) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Compiled 12 210 to 1 067 computations (91.3% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 9 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 390 | 10 | 400 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) | |
| ✓ | 99.9% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| ▶ | 56.0% | (-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
| ▶ | 56.0% | (-.f64 x (/.f64 #s(literal 2 binary64) x)) |
| ▶ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
| ▶ | 99.9% | (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y)) |
| 68.8% | (-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) | |
| 75.7% | (-.f64 x y) | |
| 54.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) | |
| ▶ | 59.7% | x |
Compiled 207 to 141 computations (31.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
| ✓ | cost-diff | 256 | (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y) |
| 2 576× | accelerator-lowering-fma.f32 |
| 2 576× | accelerator-lowering-fma.f64 |
| 2 272× | *-lowering-*.f32 |
| 2 272× | *-lowering-*.f64 |
| 2 040× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 134 |
| 1 | 45 | 126 |
| 2 | 106 | 126 |
| 3 | 311 | 126 |
| 4 | 1012 | 126 |
| 5 | 2174 | 126 |
| 6 | 3274 | 124 |
| 7 | 4298 | 124 |
| 8 | 5988 | 124 |
| 9 | 6613 | 124 |
| 10 | 6721 | 124 |
| 11 | 6777 | 124 |
| 12 | 6795 | 124 |
| 13 | 6799 | 124 |
| 14 | 7079 | 124 |
| 15 | 7307 | 124 |
| 16 | 7375 | 124 |
| 17 | 7407 | 124 |
| 18 | 7407 | 124 |
| 19 | 7838 | 124 |
| 0 | 8012 | 116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y)) |
x |
(* (/ 1 (+ 1 (/ x (/ 2 y)))) y) |
(/ 1 (+ 1 (/ x (/ 2 y)))) |
1 |
(+ 1 (/ x (/ 2 y))) |
(/ x (/ 2 y)) |
(/ 2 y) |
2 |
y |
x |
(- x (/ 2 x)) |
x |
(/ 2 x) |
2 |
(- x (/ y (* 1/2 (* y x)))) |
x |
(/ y (* 1/2 (* y x))) |
y |
(* 1/2 (* y x)) |
1/2 |
(* y x) |
(- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y))) |
x |
(/ 1 (/ (+ 1 (/ x (/ 2 y))) y)) |
1 |
(/ (+ 1 (/ x (/ 2 y))) y) |
(+ 1 (/ x (/ 2 y))) |
(/ x (/ 2 y)) |
(/ 2 y) |
2 |
y |
| Outputs |
|---|
(- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
x |
(* (/ 1 (+ 1 (/ x (/ 2 y)))) y) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(/ 1 (+ 1 (/ x (/ 2 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x (/ 2 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64)))) |
(/ x (/ 2 y)) |
(*.f64 y (/.f64 x #s(literal 2 binary64))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
2 |
#s(literal 2 binary64) |
y |
x |
(- x (/ 2 x)) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
x |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
(- x (/ y (* 1/2 (* y x)))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
x |
(/ y (* 1/2 (* y x))) |
(/.f64 #s(literal 2 binary64) x) |
y |
(* 1/2 (* y x)) |
(*.f64 y (/.f64 x #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* y x) |
(*.f64 x y) |
(- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
x |
(/ 1 (/ (+ 1 (/ x (/ 2 y))) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(/ (+ 1 (/ x (/ 2 y))) y) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (/ x (/ 2 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64)))) |
(/ x (/ 2 y)) |
(*.f64 y (/.f64 x #s(literal 2 binary64))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
2 |
#s(literal 2 binary64) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 #s(literal 2 binary64) y)) |
| ✓ | accuracy | 92.5% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
| ✓ | accuracy | 80.0% | (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y)) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 #s(literal 2 binary64) y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | accuracy | 92.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y) |
| 294.0ms | 256× | 0 | valid |
Compiled 144 to 22 computations (84.7% saved)
ival-sub: 252.0ms (90.5% of total)ival-div: 20.0ms (7.2% of total)ival-mult: 5.0ms (1.8% of total)ival-add: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (+ 1 (/ x (/ 2 y)))) y)> |
#<alt (- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y))> |
#<alt (/ 1 (+ 1 (/ x (/ 2 y))))> |
#<alt (+ 1 (/ x (/ 2 y)))> |
#<alt (- x (/ 2 x))> |
#<alt (/ 2 x)> |
#<alt (/ y (* 1/2 (* y x)))> |
#<alt (- x (/ y (* 1/2 (* y x))))> |
#<alt (* 1/2 (* y x))> |
#<alt (* y x)> |
#<alt (/ (+ 1 (/ x (/ 2 y))) y)> |
#<alt (- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y)))> |
#<alt (/ 1 (/ (+ 1 (/ x (/ 2 y))) y))> |
#<alt (/ x (/ 2 y))> |
| Outputs |
|---|
#<alt y> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))> |
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)> |
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)> |
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))> |
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))> |
#<alt (* -1 y)> |
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)> |
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)> |
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))> |
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))> |
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))> |
#<alt (+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y))))> |
#<alt (/ 2 (* x y))> |
#<alt (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)> |
#<alt (/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x)> |
#<alt (/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x)> |
#<alt (/ 2 (* x y))> |
#<alt (* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))> |
#<alt (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))> |
#<alt (/ 2 (* x y))> |
#<alt (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)> |
#<alt (/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y)> |
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y)> |
#<alt (/ 2 (* x y))> |
#<alt (* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* x (+ (* 1/2 y) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 y) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 y) (/ 1 x)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (+ 1 (* 1/2 (* x y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* y (+ (* 1/2 x) (/ 1 y)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 y)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))> |
#<alt (/ -2 x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ -2 x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (/ 1 y)> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* 1/2 (* x y))) y)> |
#<alt (/ (+ 1 (* 1/2 (* x y))) y)> |
#<alt (/ (+ 1 (* 1/2 (* x y))) y)> |
#<alt (* 1/2 x)> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (* 1/2 x)> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (* -1 y)> |
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)> |
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)> |
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))> |
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))> |
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))> |
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)> |
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)> |
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))> |
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (- x (/ 2 x)) |
| 1.0ms | y | @ | 0 | (- x (/ y (* 1/2 (* y x)))) |
| 0.0ms | x | @ | -inf | (/ 1 (+ 1 (/ x (/ 2 y)))) |
| 0.0ms | x | @ | inf | (/ 1 (+ 1 (/ x (/ 2 y)))) |
| 0.0ms | y | @ | -inf | (/ (+ 1 (/ x (/ 2 y))) y) |
| 1× | batch-egg-rewrite |
| 4 958× | *-lowering-*.f32 |
| 4 958× | *-lowering-*.f64 |
| 4 892× | accelerator-lowering-fma.f32 |
| 4 892× | accelerator-lowering-fma.f64 |
| 4 742× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 110 |
| 1 | 146 | 102 |
| 2 | 1226 | 102 |
| 0 | 8144 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (+ 1 (/ x (/ 2 y)))) y) |
(- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y)) |
(/ 1 (+ 1 (/ x (/ 2 y)))) |
(+ 1 (/ x (/ 2 y))) |
(- x (/ 2 x)) |
(/ 2 x) |
(/ y (* 1/2 (* y x))) |
(- x (/ y (* 1/2 (* y x)))) |
(* 1/2 (* y x)) |
(* y x) |
(/ (+ 1 (/ x (/ 2 y))) y) |
(- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y))) |
(/ 1 (/ (+ 1 (/ x (/ 2 y))) y)) |
(/ x (/ 2 y)) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))))))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
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(*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))))))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 2 binary64) y)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) |
(*.f64 x (/.f64 y #s(literal 2 binary64))) |
(*.f64 y (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 x #s(literal 2 binary64)) y) |
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) x) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) y) |
(*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 12 342× | accelerator-lowering-fma.f32 |
| 12 342× | accelerator-lowering-fma.f64 |
| 5 426× | *-lowering-*.f32 |
| 5 426× | *-lowering-*.f64 |
| 3 048× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 2818 |
| 1 | 984 | 2756 |
| 2 | 2542 | 2460 |
| 0 | 8314 | 2364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
1 |
(+ 1 (* -1/2 (* x y))) |
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y)))) |
(+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y)))) |
(/ 2 (* x y)) |
(/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x) |
(/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x) |
(/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x) |
(/ 2 (* x y)) |
(* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
1 |
(+ 1 (* -1/2 (* x y))) |
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))) |
(+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))) |
(/ 2 (* x y)) |
(/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y) |
(/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y) |
(/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y) |
(/ 2 (* x y)) |
(* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y)) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* 1/2 (* x y)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* 1/2 (* x y)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* 1/2 (* x y)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(/ -2 x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ -2 x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 y) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(/ 1 y) |
(/ (+ 1 (* 1/2 (* x y))) y) |
(/ (+ 1 (* 1/2 (* x y))) y) |
(/ (+ 1 (* 1/2 (* x y))) y) |
(* 1/2 x) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(* 1/2 x) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
| Outputs |
|---|
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(+.f64 y (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x) (/.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x)))))))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 #s(literal -16 binary64) (*.f64 y (*.f64 y (*.f64 y x))))) x) (/.f64 #s(literal -4 binary64) y)) x)) x) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) x))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))) (*.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64)))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) x))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x)) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 x (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x))) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x)) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 x (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) |
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y x)) #s(literal 1/4 binary64)))) (*.f64 y #s(literal -1/2 binary64))))) |
(/ 2 (* x y)) |
(/.f64 #s(literal 2 binary64) (*.f64 y x)) |
(/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) y) |
(/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 y x)))) (/.f64 (/.f64 #s(literal -4 binary64) y) y)) x)) x) |
(/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 y x)))) (/.f64 (/.f64 #s(literal -4 binary64) y) y)) x) (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))) x) |
(/ 2 (* x y)) |
(/.f64 #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) y) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 y x)))) (/.f64 (/.f64 #s(literal -4 binary64) y) y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) y) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) y)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) |
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))) |
(+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) x)))) |
(/ 2 (* x y)) |
(/.f64 #s(literal 2 binary64) (*.f64 y x)) |
(/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) y) |
(/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) y) |
(/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y))) y) |
(/ 2 (* x y)) |
(/.f64 #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) y) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y)) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(+ 1 (* 1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) x))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 (* x y)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
Compiled 18 345 to 2 120 computations (88.4% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 026 | 6 | 1 032 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 029 | 13 | 1 042 |
| Status | Accuracy | Program |
|---|---|---|
| 11.4% | (/.f64 #s(literal -2 binary64) x) | |
| 51.0% | (-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) | |
| ✓ | 99.9% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| ✓ | 56.0% | (-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
| ✓ | 56.0% | (-.f64 x (/.f64 #s(literal 2 binary64) x)) |
| ✓ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
| ▶ | 75.6% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
| ▶ | 56.0% | (-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
| ▶ | 68.8% | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)) |
| ▶ | 75.7% | (-.f64 x y) |
| 54.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) | |
| ✓ | 59.7% | x |
Compiled 205 to 139 computations (32.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
| 4 376× | accelerator-lowering-fma.f32 |
| 4 376× | accelerator-lowering-fma.f64 |
| 3 202× | /-lowering-/.f32 |
| 3 202× | /-lowering-/.f64 |
| 2 836× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 118 |
| 1 | 57 | 118 |
| 2 | 176 | 110 |
| 3 | 582 | 110 |
| 4 | 1488 | 110 |
| 5 | 2469 | 110 |
| 6 | 3752 | 110 |
| 7 | 4752 | 110 |
| 8 | 5936 | 110 |
| 9 | 6085 | 110 |
| 10 | 6099 | 110 |
| 11 | 6102 | 110 |
| 12 | 6199 | 110 |
| 13 | 6274 | 110 |
| 14 | 6404 | 110 |
| 15 | 6406 | 110 |
| 16 | 6406 | 110 |
| 0 | 8086 | 103 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ 1 (+ (/ 1 y) (* x 1/2)))) |
x |
(/ 1 (+ (/ 1 y) (* x 1/2))) |
1 |
(+ (/ 1 y) (* x 1/2)) |
(/ 1 y) |
y |
(* x 1/2) |
1/2 |
(- x y) |
x |
y |
(- x (/ 1 (/ 1 y))) |
x |
(/ 1 (/ 1 y)) |
1 |
(/ 1 y) |
y |
(- x (* (/ 2 (* y x)) y)) |
x |
(* (/ 2 (* y x)) y) |
(/ 2 (* y x)) |
2 |
(* y x) |
y |
(- x (* (+ 1 (* y (* -1/2 x))) y)) |
x |
(* (+ 1 (* y (* -1/2 x))) y) |
(+ 1 (* y (* -1/2 x))) |
1 |
(* y (* -1/2 x)) |
y |
(* -1/2 x) |
-1/2 |
| Outputs |
|---|
(- x (/ 1 (+ (/ 1 y) (* x 1/2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))) |
x |
(/ 1 (+ (/ 1 y) (* x 1/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ (/ 1 y) (* x 1/2)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(- x y) |
(-.f64 x y) |
x |
y |
(- x (/ 1 (/ 1 y))) |
(-.f64 x y) |
x |
(/ 1 (/ 1 y)) |
y |
1 |
#s(literal 1 binary64) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(- x (* (/ 2 (* y x)) y)) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(* (/ 2 (* y x)) y) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 (* y x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x y)) |
2 |
#s(literal 2 binary64) |
(* y x) |
(*.f64 x y) |
y |
(- x (* (+ 1 (* y (* -1/2 x))) y)) |
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) y) |
x |
(* (+ 1 (* y (* -1/2 x))) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* y (* -1/2 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* y (* -1/2 x)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
y |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y (*.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 y x)) |
| ✓ | accuracy | 79.5% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) |
| 216.0ms | 256× | 0 | valid |
Compiled 128 to 25 computations (80.5% saved)
ival-mult: 83.0ms (84.1% of total)ival-div: 7.0ms (7.1% of total)ival-sub: 5.0ms (5.1% of total)ival-add: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x (/ 1 (+ (/ 1 y) (* x 1/2))))> |
#<alt (/ 1 (+ (/ 1 y) (* x 1/2)))> |
#<alt (+ (/ 1 y) (* x 1/2))> |
#<alt (/ 1 y)> |
#<alt (- x y)> |
#<alt (/ 1 (/ 1 y))> |
#<alt (- x (/ 1 (/ 1 y)))> |
#<alt (* (/ 2 (* y x)) y)> |
#<alt (- x (* (/ 2 (* y x)) y))> |
#<alt (/ 2 (* y x))> |
#<alt (* y x)> |
#<alt (- x (* (+ 1 (* y (* -1/2 x))) y))> |
#<alt (* (+ 1 (* y (* -1/2 x))) y)> |
#<alt (+ 1 (* y (* -1/2 x)))> |
#<alt (* y (* -1/2 x))> |
#<alt (* x 1/2)> |
#<alt (* -1/2 x)> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)> |
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)> |
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))> |
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))> |
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))> |
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))> |
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))> |
#<alt (/ 2 x)> |
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))> |
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))> |
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)> |
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)> |
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* 1/2 (* x y))) y)> |
#<alt (/ (+ 1 (* 1/2 (* x y))) y)> |
#<alt (/ (+ 1 (* 1/2 (* x y))) y)> |
#<alt (* 1/2 x)> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (* 1/2 x)> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (+ (* 1/2 x) (/ 1 y))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (* x (+ 1/2 (/ 1 (* x y))))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ -2 x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (/ 2 (* x y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1 y)> |
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)> |
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)> |
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)> |
#<alt (* x (- 1 (* -1/2 (pow y 2))))> |
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))> |
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))> |
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))> |
#<alt (* x (+ 1 (* 1/2 (pow y 2))))> |
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))> |
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))> |
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))> |
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))> |
#<alt (* 1/2 (* x (pow y 2)))> |
#<alt (* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* 1/2 (* x (pow y 2)))> |
#<alt (* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* y (+ 1 (* -1/2 (* x y))))> |
#<alt (* -1/2 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* -1/2 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))> |
#<alt y> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (+ y (* -1/2 (* x (pow y 2))))> |
#<alt (* -1/2 (* x (pow y 2)))> |
#<alt (* x (+ (* -1/2 (pow y 2)) (/ y x)))> |
#<alt (* x (+ (* -1/2 (pow y 2)) (/ y x)))> |
#<alt (* x (+ (* -1/2 (pow y 2)) (/ y x)))> |
#<alt (* -1/2 (* x (pow y 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* y (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 x) (/ 1 y)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1 (* y (- (* 1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 x) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (+ 1 (* -1/2 (* x y)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* x (+ (* -1/2 y) (/ 1 x)))> |
#<alt (* x (+ (* -1/2 y) (/ 1 x)))> |
#<alt (* x (+ (* -1/2 y) (/ 1 x)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1 (* x (- (* 1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 1/2 y) (/ 1 x))))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1/2 (* x y))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 83.0ms | x | @ | inf | (* x 1/2) |
| 3.0ms | y | @ | inf | (- x (* (+ 1 (* y (* -1/2 x))) y)) |
| 0.0ms | x | @ | inf | (/ 2 (* y x)) |
| 0.0ms | x | @ | 0 | (- x (* (+ 1 (* y (* -1/2 x))) y)) |
| 0.0ms | y | @ | inf | (/ 2 (* y x)) |
| 1× | batch-egg-rewrite |
| 5 862× | accelerator-lowering-fma.f32 |
| 5 862× | accelerator-lowering-fma.f64 |
| 4 250× | /-lowering-/.f32 |
| 4 250× | /-lowering-/.f64 |
| 3 828× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 99 |
| 1 | 160 | 99 |
| 2 | 1369 | 91 |
| 0 | 8333 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ 1 (+ (/ 1 y) (* x 1/2)))) |
(/ 1 (+ (/ 1 y) (* x 1/2))) |
(+ (/ 1 y) (* x 1/2)) |
(/ 1 y) |
(- x y) |
(/ 1 (/ 1 y)) |
(- x (/ 1 (/ 1 y))) |
(* (/ 2 (* y x)) y) |
(- x (* (/ 2 (* y x)) y)) |
(/ 2 (* y x)) |
(* y x) |
(- x (* (+ 1 (* y (* -1/2 x))) y)) |
(* (+ 1 (* y (* -1/2 x))) y) |
(+ 1 (* y (* -1/2 x))) |
(* y (* -1/2 x)) |
(* x 1/2) |
(* -1/2 x) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y))) |
(/.f64 (*.f64 x y) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x y)) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 11 096× | accelerator-lowering-fma.f32 |
| 11 096× | accelerator-lowering-fma.f64 |
| 3 856× | *-lowering-*.f32 |
| 3 856× | *-lowering-*.f64 |
| 3 588× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 2275 |
| 1 | 884 | 2246 |
| 2 | 2380 | 2090 |
| 3 | 7437 | 2066 |
| 0 | 8511 | 1954 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/ 1 y) |
(/ (+ 1 (* 1/2 (* x y))) y) |
(/ (+ 1 (* 1/2 (* x y))) y) |
(/ (+ 1 (* 1/2 (* x y))) y) |
(* 1/2 x) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(* 1/2 x) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(/ 1 y) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(+ (* 1/2 x) (/ 1 y)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(* x (+ 1/2 (/ 1 (* x y)))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ -2 x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(/ 2 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
(- (* x (- 1 (* -1/2 (pow y 2)))) y) |
(- (* x (- 1 (* -1/2 (pow y 2)))) y) |
(- (* x (- 1 (* -1/2 (pow y 2)))) y) |
(* x (- 1 (* -1/2 (pow y 2)))) |
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2)))) |
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2)))) |
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2)))) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2)))))) |
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2)))))) |
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2)))))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(* 1/2 (* x (pow y 2))) |
(* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))) |
(* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y)))) |
(* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y)))) |
(* 1/2 (* x (pow y 2))) |
(* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* -1/2 (* x y)))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 x) (/ 1 y))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 x) (/ 1 y))) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* -1/2 (* x (pow y 2)))) |
(* -1/2 (* x (pow y 2))) |
(* x (+ (* -1/2 (pow y 2)) (/ y x))) |
(* x (+ (* -1/2 (pow y 2)) (/ y x))) |
(* x (+ (* -1/2 (pow y 2)) (/ y x))) |
(* -1/2 (* x (pow y 2))) |
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
1 |
(+ 1 (* -1/2 (* x y))) |
(+ 1 (* -1/2 (* x y))) |
(+ 1 (* -1/2 (* x y))) |
(* -1/2 (* x y)) |
(* y (+ (* -1/2 x) (/ 1 y))) |
(* y (+ (* -1/2 x) (/ 1 y))) |
(* y (+ (* -1/2 x) (/ 1 y))) |
(* -1/2 (* x y)) |
(* -1 (* y (- (* 1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 x) (/ 1 y)))) |
1 |
(+ 1 (* -1/2 (* x y))) |
(+ 1 (* -1/2 (* x y))) |
(+ 1 (* -1/2 (* x y))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (/ 1 x))) |
(* x (+ (* -1/2 y) (/ 1 x))) |
(* x (+ (* -1/2 y) (/ 1 x))) |
(* -1/2 (* x y)) |
(* -1 (* x (- (* 1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* 1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* 1/2 y) (/ 1 x)))) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* -1/2 (* x y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/4 binary64))))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/4 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))) y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64))))))) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x)))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal -16 binary64) y) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal -16 binary64) y) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal -16 binary64) y) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+.f64 y (*.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(+.f64 y (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x (*.f64 y (*.f64 y y))) (*.f64 x x)))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -8 binary64) (*.f64 y y))) x)) x)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
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(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1 (* y (- (* 1/2 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1 (* y (- (* 1/2 x) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* -1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* -1/2 (* x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* x (+ (* -1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ (* -1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ (* -1/2 y) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (- (* 1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1 (* x (- (* 1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1 (* x (- (* 1/2 y) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
Compiled 21 823 to 2 443 computations (88.8% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 158 | 1 | 1 159 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 159 | 13 | 1 172 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 11.4% | (/.f64 #s(literal -2 binary64) x) |
| ▶ | 51.0% | (-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) |
| ✓ | 99.9% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| ✓ | 56.0% | (-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
| ✓ | 56.0% | (-.f64 x (/.f64 #s(literal 2 binary64) x)) |
| ✓ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
| ✓ | 75.6% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | 56.0% | (-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
| ✓ | 75.7% | (-.f64 x y) |
| ▶ | 31.3% | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
| ▶ | 54.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
| ✓ | 59.7% | x |
Compiled 125 to 85 computations (32% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
| 3 986× | accelerator-lowering-fma.f32 |
| 3 986× | accelerator-lowering-fma.f64 |
| 3 014× | *-lowering-*.f32 |
| 3 014× | *-lowering-*.f64 |
| 2 036× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 87 |
| 1 | 48 | 87 |
| 2 | 98 | 87 |
| 3 | 243 | 75 |
| 4 | 502 | 75 |
| 5 | 1093 | 75 |
| 6 | 2996 | 75 |
| 7 | 4801 | 75 |
| 8 | 7843 | 75 |
| 0 | 8061 | 73 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (/ -2 (* x x)))) |
x |
(+ 1 (/ -2 (* x x))) |
1 |
(/ -2 (* x x)) |
-2 |
(* x x) |
(* y (+ -1 (* x (* y 1/2)))) |
y |
(+ -1 (* x (* y 1/2))) |
-1 |
(* x (* y 1/2)) |
x |
(* y 1/2) |
1/2 |
(- x (/ (/ (/ y 1/2) x) y)) |
x |
(/ (/ (/ y 1/2) x) y) |
(/ (/ y 1/2) x) |
(/ y 1/2) |
y |
1/2 |
(/ -2 x) |
-2 |
x |
| Outputs |
|---|
(* x (+ 1 (/ -2 (* x x)))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(+ 1 (/ -2 (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(/ -2 (* x x)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
-2 |
#s(literal -2 binary64) |
(* x x) |
(*.f64 x x) |
(* y (+ -1 (* x (* y 1/2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
y |
(+ -1 (* x (* y 1/2))) |
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* x (* y 1/2)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
x |
(* y 1/2) |
(*.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(- x (/ (/ (/ y 1/2) x) y)) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(/ (/ (/ y 1/2) x) y) |
(/.f64 #s(literal 2 binary64) x) |
(/ (/ y 1/2) x) |
(/.f64 (/.f64 y #s(literal 1/2 binary64)) x) |
(/ y 1/2) |
(/.f64 y #s(literal 1/2 binary64)) |
y |
1/2 |
#s(literal 1/2 binary64) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) |
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) |
| ✓ | accuracy | 75.0% | (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 73.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
| 59.0ms | 256× | 0 | valid |
Compiled 89 to 21 computations (76.4% saved)
ival-mult: 16.0ms (57.6% of total)ival-div: 8.0ms (28.8% of total)ival-add: 2.0ms (7.2% of total)ival-sub: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (/ -2 (* x x))))> |
#<alt (+ 1 (/ -2 (* x x)))> |
#<alt (/ -2 (* x x))> |
#<alt (* x x)> |
#<alt (* y (+ -1 (* x (* y 1/2))))> |
#<alt (+ -1 (* x (* y 1/2)))> |
#<alt (* x (* y 1/2))> |
#<alt (* y 1/2)> |
#<alt (/ (/ (/ y 1/2) x) y)> |
#<alt (- x (/ (/ (/ y 1/2) x) y))> |
#<alt (/ (/ y 1/2) x)> |
#<alt (/ y 1/2)> |
#<alt (/ -2 x)> |
| Outputs |
|---|
#<alt (/ -2 x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ (- (pow x 2) 2) (pow x 2))> |
#<alt (/ (- (pow x 2) 2) (pow x 2))> |
#<alt (/ (- (pow x 2) 2) (pow x 2))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 (pow x 2))))> |
#<alt (- 1 (* 2 (/ 1 (pow x 2))))> |
#<alt (- 1 (* 2 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 (pow x 2))))> |
#<alt (- 1 (* 2 (/ 1 (pow x 2))))> |
#<alt (- 1 (* 2 (/ 1 (pow x 2))))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (* x y)) 1))> |
#<alt (* y (- (* 1/2 (* x y)) 1))> |
#<alt (* y (- (* 1/2 (* x y)) 1))> |
#<alt (* 1/2 (* x (pow y 2)))> |
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))> |
#<alt (* 1/2 (* x (pow y 2)))> |
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))> |
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))> |
#<alt (* -1 y)> |
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))> |
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))> |
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))> |
#<alt (* 1/2 (* x (pow y 2)))> |
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))> |
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))> |
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))> |
#<alt (* 1/2 (* x (pow y 2)))> |
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))> |
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))> |
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))> |
#<alt -1> |
#<alt (- (* 1/2 (* x y)) 1)> |
#<alt (- (* 1/2 (* x y)) 1)> |
#<alt (- (* 1/2 (* x y)) 1)> |
#<alt (* 1/2 (* x y))> |
#<alt (* x (- (* 1/2 y) (/ 1 x)))> |
#<alt (* x (- (* 1/2 y) (/ 1 x)))> |
#<alt (* x (- (* 1/2 y) (/ 1 x)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))> |
#<alt -1> |
#<alt (- (* 1/2 (* x y)) 1)> |
#<alt (- (* 1/2 (* x y)) 1)> |
#<alt (- (* 1/2 (* x y)) 1)> |
#<alt (* 1/2 (* x y))> |
#<alt (* y (- (* 1/2 x) (/ 1 y)))> |
#<alt (* y (- (* 1/2 x) (/ 1 y)))> |
#<alt (* y (- (* 1/2 x) (/ 1 y)))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 (* x y))> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ -2 x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt (/ (- (pow x 2) 2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (- x (* 2 (/ 1 x)))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 (/ y x))> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (+ 1 (/ -2 (* x x)))) |
| 0.0ms | y | @ | inf | (* y (+ -1 (* x (* y 1/2)))) |
| 0.0ms | x | @ | 0 | (/ -2 (* x x)) |
| 0.0ms | y | @ | -inf | (* y (+ -1 (* x (* y 1/2)))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (/ -2 (* x x)))) |
| 1× | batch-egg-rewrite |
| 6 900× | accelerator-lowering-fma.f32 |
| 6 900× | accelerator-lowering-fma.f64 |
| 4 574× | *-lowering-*.f32 |
| 4 574× | *-lowering-*.f64 |
| 4 176× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 75 |
| 1 | 118 | 75 |
| 2 | 986 | 63 |
| 0 | 8684 | 60 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (/ -2 (* x x)))) |
(+ 1 (/ -2 (* x x))) |
(/ -2 (* x x)) |
(* x x) |
(* y (+ -1 (* x (* y 1/2)))) |
(+ -1 (* x (* y 1/2))) |
(* x (* y 1/2)) |
(* y 1/2) |
(/ (/ (/ y 1/2) x) y) |
(- x (/ (/ (/ y 1/2) x) y)) |
(/ (/ y 1/2) x) |
(/ y 1/2) |
(/ -2 x) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(+.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(+.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x))) |
(+.f64 (/.f64 #s(literal -2 binary64) x) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (/.f64 (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x))) |
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))) x) |
(fma.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) x) |
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x x) x) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 #s(literal -2 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y #s(literal 1/2 binary64)) y) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(fma.f64 (/.f64 (/.f64 y #s(literal -1/2 binary64)) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal 2 binary64) y) x) |
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal -2 binary64) y) x) |
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 x x) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y) x) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) y) x) |
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) x) |
(fma.f64 (/.f64 (/.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 (/.f64 x x) (/.f64 #s(literal -2 binary64) x) x) |
(fma.f64 (/.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal -2 binary64) x) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x))) |
(fma.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -2 binary64) x)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))) (+.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -2 binary64) x) x)))) |
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(*.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (/.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
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(*.f64 (/.f64 x (*.f64 x x)) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 5 042× | accelerator-lowering-fma.f32 |
| 5 042× | accelerator-lowering-fma.f64 |
| 2 992× | *-lowering-*.f32 |
| 2 992× | *-lowering-*.f64 |
| 1 788× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1166 |
| 1 | 164 | 1148 |
| 2 | 429 | 1088 |
| 3 | 764 | 1088 |
| 4 | 2496 | 1088 |
| 5 | 5809 | 1088 |
| 0 | 8265 | 1052 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(/ -2 (pow x 2)) |
(/ (- (pow x 2) 2) (pow x 2)) |
(/ (- (pow x 2) 2) (pow x 2)) |
(/ (- (pow x 2) 2) (pow x 2)) |
1 |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
1 |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 y) |
(* y (- (* 1/2 (* x y)) 1)) |
(* y (- (* 1/2 (* x y)) 1)) |
(* y (- (* 1/2 (* x y)) 1)) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(* 1/2 (* x (pow y 2))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
-1 |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(* 1/2 (* x y)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
-1 |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(* 1/2 (* x y)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* 1/2 (* x y)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ -2 x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
(/ (- (pow x 2) 2) x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (pow x 2) 2) x) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (pow x 2) 2) x) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (pow x 2) 2) x) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ (- (pow x 2) 2) (pow x 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ (- (pow x 2) 2) (pow x 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ (- (pow x 2) 2) (pow x 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(- 1 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (* 1/2 (* x y)) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* y (- (* 1/2 (* x y)) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* y (- (* 1/2 (* x y)) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* 1/2 (* x (pow y 2))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* 1/2 (* x (pow y 2))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* 1/2 (* x (pow y 2))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* 1/2 (* x (pow y 2))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (* x y)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (* x y)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (* x y)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (* x y)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (* x y)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(- (* 1/2 (* x y)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (pow x 2) 2) x) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (pow x 2) 2) x) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (pow x 2) 2) x) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(- x (* 2 (/ 1 x))) |
(+.f64 x (/.f64 #s(literal -2 binary64) x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 (/ y x)) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
Compiled 12 974 to 1 417 computations (89.1% saved)
15 alts after pruning (4 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 892 | 4 | 896 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 1 | 8 | 9 |
| Total | 894 | 15 | 909 |
| Status | Accuracy | Program |
|---|---|---|
| 11.0% | (/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) | |
| 6.4% | (/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y) | |
| 10.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x)) | |
| ✓ | 11.4% | (/.f64 #s(literal -2 binary64) x) |
| 31.3% | (-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y) | |
| ✓ | 99.9% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| ✓ | 56.0% | (-.f64 x (/.f64 #s(literal 2 binary64) x)) |
| ✓ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
| ✓ | 75.6% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | 56.0% | (-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
| ✓ | 75.7% | (-.f64 x y) |
| ✓ | 31.3% | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
| ✓ | 54.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
| ✓ | 59.7% | x |
Compiled 326 to 174 computations (46.6% saved)
| Inputs |
|---|
x |
(-.f64 x y) |
(/.f64 #s(literal -2 binary64) x) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y) |
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) |
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x)) |
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) |
| Outputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
3 calls:
| 8.0ms | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
x |
(-.f64 x y) |
(/.f64 #s(literal -2 binary64) x) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y) |
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) |
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x)) |
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
2 calls:
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
x |
(-.f64 x y) |
(/.f64 #s(literal -2 binary64) x) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y) |
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)) |
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x)) |
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))) |
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(-.f64 x y) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
2 calls:
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | x |
| 89.7% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
x |
(-.f64 x y) |
(/.f64 #s(literal -2 binary64) x) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y) |
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(-.f64 x y) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
x |
(-.f64 x y) |
(/.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
x |
(-.f64 x y) |
x |
2 calls:
| 3.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | y |
| 88.7% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 1 | y |
| 59.7% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.078798671163698e-27 | 2.1478210835059284e-20 |
| 8.0ms | -3.207643159932902e-24 | -3.3489833443280163e-25 |
| 13.0ms | 240× | 0 | valid |
Compiled 250 to 182 computations (27.2% saved)
ival-div: 3.0ms (40.8% of total)ival-mult: 2.0ms (27.2% of total)ival-sub: 1.0ms (13.6% of total)ival-add: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.078798671163698e-27 | 2.1478210835059284e-20 |
| 9.0ms | -3.207643159932902e-24 | -3.3489833443280163e-25 |
| 14.0ms | 240× | 0 | valid |
Compiled 226 to 164 computations (27.4% saved)
ival-div: 3.0ms (35.6% of total)ival-add: 2.0ms (23.7% of total)ival-mult: 2.0ms (23.7% of total)ival-sub: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.4056116744553517e-5 | 0.003453415828511095 |
| 14.0ms | -58889762147516150.0 | -5916.232031393873 |
| 14.0ms | 272× | 0 | valid |
Compiled 186 to 133 computations (28.5% saved)
ival-div: 4.0ms (47% of total)ival-mult: 2.0ms (23.5% of total)ival-sub: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 76× | unsub-neg_binary64 |
| 72× | neg-mul-1_binary64 |
| 46× | *-commutative_binary64 |
| 42× | +-commutative_binary64 |
| 36× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 78 |
| 1 | 64 | 78 |
| 2 | 88 | 78 |
| 3 | 113 | 78 |
| 4 | 152 | 78 |
| 5 | 211 | 78 |
| 6 | 299 | 78 |
| 7 | 320 | 78 |
| 8 | 323 | 78 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal -110591769249305/42535295865117307932921825928971026432 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 7826494439181585/170141183460469231731687303715884105728 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal -6097860015223217/10889035741470030830827987437816582766592 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 2395587863123407/21778071482940061661655974875633165533184 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal -6000 binary64)) x (if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) (-.f64 x y) x)) |
x |
| Outputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal -110591769249305/42535295865117307932921825928971026432 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 7826494439181585/170141183460469231731687303715884105728 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal -6097860015223217/10889035741470030830827987437816582766592 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 2395587863123407/21778071482940061661655974875633165533184 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal -6000 binary64)) x (if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) (-.f64 x y) x)) |
x |
| 13 558× | accelerator-lowering-fma.f32 |
| 13 558× | accelerator-lowering-fma.f64 |
| 12 342× | accelerator-lowering-fma.f32 |
| 12 342× | accelerator-lowering-fma.f64 |
| 5 754× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 58 | 35 |
| 2 | 495 | 35 |
| 3 | 6876 | 35 |
| 0 | 8530 | 32 |
| 0 | 305 | 2818 |
| 1 | 984 | 2756 |
| 2 | 2542 | 2460 |
| 0 | 8314 | 2364 |
| 0 | 231 | 1053 |
| 1 | 738 | 1018 |
| 2 | 1941 | 987 |
| 3 | 6067 | 981 |
| 0 | 8421 | 934 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 158 to 92 computations (41.8% saved)
Compiled 194 to 102 computations (47.4% saved)
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