
Time bar (total: 7.7s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-div: 253.0ms (50.6% of total)ival-mult: 190.0ms (38% of total)ival-add: 43.0ms (8.6% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 100 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| 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 |
| 25.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-div: 5.0ms (40.2% of total)ival-add: 3.0ms (24.1% of total)ival-mult: 3.0ms (24.1% 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 |
| 344× | times-frac |
| 280× | associate-*l* |
| 248× | associate-*r* |
| 168× | unsub-neg |
| 138× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 45 |
| 1 | 47 | 35 |
| 2 | 115 | 35 |
| 3 | 267 | 35 |
| 4 | 700 | 35 |
| 5 | 1152 | 35 |
| 6 | 1508 | 35 |
| 7 | 1542 | 35 |
| 8 | 1590 | 35 |
| 9 | 1622 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 13 | 7 |
| 2 | 16 | 7 |
| 3 | 17 | 7 |
| 0 | 17 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 2 | 16 | 16 |
| 3 | 17 | 16 |
| 0 | 17 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
(+.f64 x y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.19921875 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-div: 2.0ms (38.1% of total)ival-mult: 2.0ms (38.1% of total)ival-add: 1.0ms (19.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+ x y) |
| 2.0ms | y | @ | inf | (+ x y) |
| 0.0ms | x | @ | inf | (/ (* x 100) (+ x y)) |
| 0.0ms | y | @ | inf | (/ (* x 100) (+ x y)) |
| 0.0ms | x | @ | 0 | (/ (* x 100) (+ x y)) |
| 1× | egg-herbie |
| 15 982× | lower-fma.f64 |
| 15 982× | lower-fma.f32 |
| 4 158× | lower-*.f64 |
| 4 158× | lower-*.f32 |
| 2 414× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 463 |
| 1 | 400 | 440 |
| 2 | 986 | 420 |
| 3 | 3162 | 406 |
| 4 | 7111 | 406 |
| 0 | 8145 | 375 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 (/.f64 x (*.f64 y y)) (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64)) (/.f64 #s(literal 100 binary64) y))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 100 binary64) y))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (*.f64 y (/.f64 y x)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) y) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (*.f64 y (/.f64 y x)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) y) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (*.f64 y (/.f64 y x)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) y) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (*.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (+.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64))))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64))) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 x (*.f64 x #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (*.f64 x x) (neg.f64 x) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) y) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
| 4 492× | lower-/.f32 |
| 4 490× | lower-/.f64 |
| 3 630× | lower-*.f32 |
| 3 628× | lower-*.f64 |
| 3 278× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 218 | 13 |
| 3 | 2144 | 13 |
| 0 | 8195 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(-.f64 (/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1/100 binary64) x))) |
(-.f64 (/.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 (/.f64 (*.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/100 binary64) x))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))) |
(/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (neg.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 (/.f64 #s(literal 1/100 binary64) x))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (-.f64 x y)))) (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) (-.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (*.f64 x #s(literal -100 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (*.f64 (-.f64 (neg.f64 y) x) (*.f64 x #s(literal 100 binary64)))) (*.f64 (+.f64 x y) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (neg.f64 y) x) (*.f64 x #s(literal -100 binary64)))) (*.f64 (-.f64 (neg.f64 y) x) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64)))) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (*.f64 x #s(literal -100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (neg.f64 y) x) (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64))) (-.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) |
Compiled 10 054 to 1 107 computations (89% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 11 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 367 | 11 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
| 99.7% | (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) | |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| ▶ | 57.5% | (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) |
| 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) | |
| 57.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (*.f64 #s(literal 100 binary64) (-.f64 x y)))) | |
| 99.2% | (*.f64 #s(literal -100 binary64) (pow.f64 (/.f64 (-.f64 (neg.f64 y) x) x) #s(literal -1 binary64))) | |
| ▶ | 48.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
| 52.8% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (fma.f64 #s(literal 100 binary64) x (*.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64))))) y)) | |
| 52.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) | |
| ▶ | 49.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 254 to 158 computations (37.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| cost-diff | 1024 | (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -100 binary64) x) | |
| cost-diff | 0 | (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| 15 738× | lower-fma.f32 |
| 15 736× | lower-fma.f64 |
| 3 394× | lower-*.f32 |
| 3 384× | lower-*.f64 |
| 2 868× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 118 |
| 0 | 35 | 110 |
| 1 | 56 | 110 |
| 2 | 126 | 110 |
| 3 | 343 | 110 |
| 4 | 813 | 110 |
| 5 | 2808 | 110 |
| 6 | 6773 | 110 |
| 0 | 8319 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(/.f64 #s(literal 100 binary64) (+.f64 x y)) |
#s(literal 100 binary64) |
(+.f64 x y) |
x |
y |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
y |
(/.f64 #s(literal -100 binary64) x) |
#s(literal -100 binary64) |
x |
#s(literal 100 binary64) |
(/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
x |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(+.f64 x y) |
y |
#s(literal 1/100 binary64) |
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) |
(/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(literal 100 binary64) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
x |
y |
(-.f64 x y) |
(*.f64 (-.f64 x y) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) |
(/.f64 #s(literal 100 binary64) (+.f64 x y)) |
#s(literal 100 binary64) |
(+.f64 x y) |
x |
y |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
y |
(/.f64 #s(literal -100 binary64) x) |
#s(literal -100 binary64) |
x |
#s(literal 100 binary64) |
(/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
x |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(+.f64 x y) |
y |
#s(literal 1/100 binary64) |
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) |
(/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) |
#s(literal 100 binary64) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
x |
y |
(-.f64 x y) |
(*.f64 (-.f64 x y) x) |
(*.f64 x (-.f64 x y)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x y) x) | |
| accuracy | 1.0935221212524668 | (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| accuracy | 26.6356262068512 | (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.140625 | (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) | |
| accuracy | 0.20703125 | (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -100 binary64) x) | |
| accuracy | 0.1328125 | (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) | |
| accuracy | 33.100717166560884 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) | |
| accuracy | 32.65049992883728 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 100 binary64) (+.f64 x y)) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| 47.0ms | 256× | 0 | valid |
Compiled 112 to 22 computations (80.4% saved)
ival-mult: 13.0ms (44.2% of total)ival-div: 8.0ms (27.2% of total)const: 4.0ms (13.6% of total)ival-add: 3.0ms (10.2% of total)ival-sub: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) (patch (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) (patch (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) (patch (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) (patch (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 y) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 x) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 100 (* -100 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 100 (/ y x)) 100) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 100 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ x (* -1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ x (* -1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ x (* -1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ (pow x 2) y))) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ (pow x 2) y))) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ (pow x 2) y))) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) x) (patch (*.f64 (-.f64 x y) x) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (* (+ x y) 1/100) |
| 1.0ms | x | @ | 0 | (/ 100 (* (+ x y) (- x y))) |
| 1.0ms | y | @ | 0 | (/ 100 (* (+ x y) (- x y))) |
| 1.0ms | x | @ | inf | (/ 100 (* (+ x y) (- x y))) |
| 0.0ms | y | @ | inf | (/ 100 (* (+ x y) (- x y))) |
| 1× | egg-herbie |
| 6 006× | lower-fma.f64 |
| 6 006× | lower-fma.f32 |
| 3 442× | lower-*.f64 |
| 3 442× | lower-*.f32 |
| 2 088× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 3547 |
| 1 | 1452 | 3154 |
| 2 | 4990 | 2969 |
| 0 | 8528 | 2745 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/ 100 x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/ 100 x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(/ 100 y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ 100 y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(* -100 (/ y x)) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* -100 (/ y x)) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -100 (/ y x)) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ (+ (* -100 y) (* 100 x)) x) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(/ -100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 y) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 x) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* 1/100 x) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* 1/100 x) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 y) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* 1/100 y) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ -100 (pow y 2)) |
(- (* -100 (/ (* x (+ y (* -1 y))) (pow y 4))) (* 100 (/ 1 (pow y 2)))) |
(- (* x (- (* -1 (* x (+ (* 100 (/ 1 (pow y 4))) (* 100 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 100 (/ (+ y (* -1 y)) (pow y 4))))) (* 100 (/ 1 (pow y 2)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* 100 (/ (+ y (* -1 y)) (pow y 6))) (/ (* (+ y (* -1 y)) (+ (* 100 (/ (pow (+ y (* -1 y)) 2) (pow y 6))) (* 100 (/ 1 (pow y 4))))) (pow y 2))))) (+ (* 100 (/ 1 (pow y 4))) (* 100 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 100 (/ (+ y (* -1 y)) (pow y 4))))) (* 100 (/ 1 (pow y 2)))) |
(/ 100 (pow x 2)) |
(/ (+ 100 (* -100 (/ (+ y (* -1 y)) x))) (pow x 2)) |
(/ (- (+ 100 (* -1 (/ (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (* 100 (/ (+ y (* -1 y)) x))) (pow x 2)) |
(/ (- (+ 100 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2))))) (* 100 (* (pow y 2) (+ y (* -1 y))))) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (+ (* -100 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (* 100 (/ (+ y (* -1 y)) x))))) (pow x 2)) |
(/ 100 (pow x 2)) |
(/ (+ 100 (* -100 (/ (+ y (* -1 y)) x))) (pow x 2)) |
(/ (+ 100 (* -1 (/ (- (+ (* -100 (/ (pow y 2) x)) (* -100 (/ (pow (+ y (* -1 y)) 2) x))) (* -100 (+ y (* -1 y)))) x))) (pow x 2)) |
(/ (+ 100 (* -1 (/ (- (* -1 (/ (- (+ (* -100 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2)))) x)) (* -100 (+ y (* -1 y)))) x))) (pow x 2)) |
(/ 100 (pow x 2)) |
(+ (* -100 (/ (* y (+ x (* -1 x))) (pow x 4))) (* 100 (/ 1 (pow x 2)))) |
(+ (* y (- (* y (- (* 100 (/ 1 (pow x 4))) (* -100 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 100 (/ (+ x (* -1 x)) (pow x 4))))) (* 100 (/ 1 (pow x 2)))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* 100 (/ (+ x (* -1 x)) (pow x 6))) (/ (* (+ x (* -1 x)) (- (* 100 (/ 1 (pow x 4))) (* -100 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (pow x 2))))) (* 100 (/ 1 (pow x 4)))) (* -100 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 100 (/ (+ x (* -1 x)) (pow x 4))))) (* 100 (/ 1 (pow x 2)))) |
(/ -100 (pow y 2)) |
(/ (- (* -100 (/ (+ x (* -1 x)) y)) 100) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2))) (pow y 2))) (+ 100 (* 100 (/ (+ x (* -1 x)) y)))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 100 (* (pow x 2) (+ x (* -1 x)))) (* (+ x (* -1 x)) (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2))))) (pow y 3))) (+ 100 (+ (* 100 (/ (+ x (* -1 x)) y)) (+ (* 100 (/ (pow x 2) (pow y 2))) (* 100 (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) (pow y 2)) |
(/ -100 (pow y 2)) |
(/ (- (* 100 (/ (+ x (* -1 x)) y)) 100) (pow y 2)) |
(/ (- (* -1 (/ (- (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow (+ x (* -1 x)) 2) y))) (* 100 (+ x (* -1 x)))) y)) 100) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 100 (/ (* (pow x 2) (+ x (* -1 x))) y)) (/ (* (+ x (* -1 x)) (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2)))) y)) (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2)))) y)) (* 100 (+ x (* -1 x)))) y)) 100) (pow y 2)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (* x y)) |
(* x (+ x (* -1 y))) |
(* x (+ x (* -1 y))) |
(* x (+ x (* -1 y))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(pow x 2) |
(+ (* -1 (* x y)) (pow x 2)) |
(+ (* -1 (* x y)) (pow x 2)) |
(+ (* -1 (* x y)) (pow x 2)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (pow x 2) y))) |
(* y (+ (* -1 x) (/ (pow x 2) y))) |
(* y (+ (* -1 x) (/ (pow x 2) y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) |
| Outputs |
|---|
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -100 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 100 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))) x)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))) x)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -100 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 100 binary64) (*.f64 x x))) (/.f64 #s(literal -100 binary64) x)) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (*.f64 x x) y) (*.f64 x (neg.f64 x)))) y)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y y)) x))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (*.f64 x x) y) (*.f64 x (neg.f64 x)))) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 x #s(literal -100 binary64) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 x x) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x (*.f64 x #s(literal -100 binary64))))) y)) y)) (neg.f64 y)) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(fma.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y)) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -100 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 100 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y)) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))) x)) x)) x) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 100 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))) x)) x)) x) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) (*.f64 x x)) (/.f64 #s(literal 100 binary64) x)) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 y (fma.f64 #s(literal 100 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -100 binary64) (*.f64 x x))) (/.f64 #s(literal 100 binary64) x)) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -100 binary64) (*.f64 x x))) (/.f64 #s(literal 100 binary64) x)) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 100 binary64) y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 100 binary64) y) #s(literal -100 binary64)) y) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y y))) #s(literal 100 binary64))) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 100 binary64) y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 x #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 x (/.f64 (*.f64 x x) y) (*.f64 x (neg.f64 x)))) y)) y)) y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -100 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 100 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))) x)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (fma.f64 y #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y))) x)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -100 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 100 binary64) (*.f64 x x))) (/.f64 #s(literal -100 binary64) x)) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (*.f64 x x) y) (*.f64 x (neg.f64 x)))) y)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y y)) x))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
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(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (*.f64 x x) y) (*.f64 x (neg.f64 x)))) y)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y y)) x))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (*.f64 x x) y) (*.f64 x (neg.f64 x)))) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 x #s(literal -100 binary64) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 x x) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x (*.f64 x #s(literal -100 binary64))))) y)) y)) (neg.f64 y)) |
(/ -100 (pow y 2)) |
(/.f64 #s(literal -100 binary64) (*.f64 y y)) |
(- (* -100 (/ (* x (+ y (* -1 y))) (pow y 4))) (* 100 (/ 1 (pow y 2)))) |
(/.f64 #s(literal -100 binary64) (*.f64 y y)) |
(- (* x (- (* -1 (* x (+ (* 100 (/ 1 (pow y 4))) (* 100 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 100 (/ (+ y (* -1 y)) (pow y 4))))) (* 100 (/ 1 (pow y 2)))) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 y y)) #s(literal -100 binary64)) (*.f64 y y)) |
(- (* x (- (* x (- (* -1 (* x (+ (* 100 (/ (+ y (* -1 y)) (pow y 6))) (/ (* (+ y (* -1 y)) (+ (* 100 (/ (pow (+ y (* -1 y)) 2) (pow y 6))) (* 100 (/ 1 (pow y 4))))) (pow y 2))))) (+ (* 100 (/ 1 (pow y 4))) (* 100 (/ (pow (+ y (* -1 y)) 2) (pow y 6)))))) (* 100 (/ (+ y (* -1 y)) (pow y 4))))) (* 100 (/ 1 (pow y 2)))) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 y y)) #s(literal -100 binary64)) (*.f64 y y)) |
(/ 100 (pow x 2)) |
(/.f64 #s(literal 100 binary64) (*.f64 x x)) |
(/ (+ 100 (* -100 (/ (+ y (* -1 y)) x))) (pow x 2)) |
(/.f64 #s(literal 100 binary64) (*.f64 x x)) |
(/ (- (+ 100 (* -1 (/ (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (* 100 (/ (+ y (* -1 y)) x))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 100 binary64) (*.f64 x x)) #s(literal 100 binary64)) (*.f64 x x)) |
(/ (- (+ 100 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2))))) (* 100 (* (pow y 2) (+ y (* -1 y))))) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (+ (* -100 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (* 100 (/ (+ y (* -1 y)) x))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 100 binary64) (*.f64 x x)) #s(literal 100 binary64)) (*.f64 x x)) |
(/ 100 (pow x 2)) |
(/.f64 #s(literal 100 binary64) (*.f64 x x)) |
(/ (+ 100 (* -100 (/ (+ y (* -1 y)) x))) (pow x 2)) |
(/.f64 #s(literal 100 binary64) (*.f64 x x)) |
(/ (+ 100 (* -1 (/ (- (+ (* -100 (/ (pow y 2) x)) (* -100 (/ (pow (+ y (* -1 y)) 2) x))) (* -100 (+ y (* -1 y)))) x))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 100 binary64) (*.f64 x x)) #s(literal 100 binary64)) (*.f64 x x)) |
(/ (+ 100 (* -1 (/ (- (* -1 (/ (- (+ (* -100 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -100 (pow y 2)) (* -100 (pow (+ y (* -1 y)) 2)))) x)) (* -100 (+ y (* -1 y)))) x))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 100 binary64) (*.f64 x x)) #s(literal 100 binary64)) (*.f64 x x)) |
(/ 100 (pow x 2)) |
(/.f64 #s(literal 100 binary64) (*.f64 x x)) |
(+ (* -100 (/ (* y (+ x (* -1 x))) (pow x 4))) (* 100 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(+ (* y (- (* y (- (* 100 (/ 1 (pow x 4))) (* -100 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 100 (/ (+ x (* -1 x)) (pow x 4))))) (* 100 (/ 1 (pow x 2)))) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 100 binary64) (*.f64 x x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* 100 (/ (+ x (* -1 x)) (pow x 6))) (/ (* (+ x (* -1 x)) (- (* 100 (/ 1 (pow x 4))) (* -100 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (pow x 2))))) (* 100 (/ 1 (pow x 4)))) (* -100 (/ (pow (+ x (* -1 x)) 2) (pow x 6))))) (* 100 (/ (+ x (* -1 x)) (pow x 4))))) (* 100 (/ 1 (pow x 2)))) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 100 binary64) (*.f64 x x))) |
(/ -100 (pow y 2)) |
(/.f64 #s(literal -100 binary64) (*.f64 y y)) |
(/ (- (* -100 (/ (+ x (* -1 x)) y)) 100) (pow y 2)) |
(/.f64 #s(literal -100 binary64) (*.f64 y y)) |
(/ (- (* -1 (/ (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2))) (pow y 2))) (+ 100 (* 100 (/ (+ x (* -1 x)) y)))) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 y y)) #s(literal -100 binary64)) (*.f64 y y)) |
(/ (- (* -1 (/ (+ (* 100 (* (pow x 2) (+ x (* -1 x)))) (* (+ x (* -1 x)) (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2))))) (pow y 3))) (+ 100 (+ (* 100 (/ (+ x (* -1 x)) y)) (+ (* 100 (/ (pow x 2) (pow y 2))) (* 100 (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 y y)) #s(literal -100 binary64)) (*.f64 y y)) |
(/ -100 (pow y 2)) |
(/.f64 #s(literal -100 binary64) (*.f64 y y)) |
(/ (- (* 100 (/ (+ x (* -1 x)) y)) 100) (pow y 2)) |
(/.f64 #s(literal -100 binary64) (*.f64 y y)) |
(/ (- (* -1 (/ (- (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow (+ x (* -1 x)) 2) y))) (* 100 (+ x (* -1 x)))) y)) 100) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 y y)) #s(literal -100 binary64)) (*.f64 y y)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 100 (/ (* (pow x 2) (+ x (* -1 x))) y)) (/ (* (+ x (* -1 x)) (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2)))) y)) (+ (* 100 (pow x 2)) (* 100 (pow (+ x (* -1 x)) 2)))) y)) (* 100 (+ x (* -1 x)))) y)) 100) (pow y 2)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 y y)) #s(literal -100 binary64)) (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(*.f64 y (neg.f64 y)) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 x (*.f64 x (fma.f64 (neg.f64 y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 x (*.f64 x (fma.f64 (neg.f64 y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 x (*.f64 x (fma.f64 (neg.f64 y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 x (*.f64 x (fma.f64 (neg.f64 y) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(*.f64 (*.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ x (* -1 y))) |
(*.f64 x (-.f64 x y)) |
(* x (+ x (* -1 y))) |
(*.f64 x (-.f64 x y)) |
(* x (+ x (* -1 y))) |
(*.f64 x (-.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(*.f64 x (fma.f64 x (/.f64 y (neg.f64 x)) x)) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(*.f64 x (fma.f64 x (/.f64 y (neg.f64 x)) x)) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(*.f64 x (fma.f64 x (/.f64 y (neg.f64 x)) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(*.f64 x (fma.f64 x (/.f64 y (neg.f64 x)) x)) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(*.f64 x (fma.f64 x (/.f64 y (neg.f64 x)) x)) |
(* (pow x 2) (+ 1 (* -1 (/ y x)))) |
(*.f64 x (fma.f64 x (/.f64 y (neg.f64 x)) x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (* x y)) (pow x 2)) |
(*.f64 x (-.f64 x y)) |
(+ (* -1 (* x y)) (pow x 2)) |
(*.f64 x (-.f64 x y)) |
(+ (* -1 (* x y)) (pow x 2)) |
(*.f64 x (-.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (+ (* -1 x) (/ (pow x 2) y))) |
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)) |
(* y (+ (* -1 x) (/ (pow x 2) y))) |
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)) |
(* y (+ (* -1 x) (/ (pow x 2) y))) |
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) |
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)) |
(* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) |
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)) |
(* -1 (* y (+ x (* -1 (/ (pow x 2) y))))) |
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)) |
| 6 556× | lower-*.f32 |
| 6 546× | lower-*.f64 |
| 5 298× | lower-fma.f32 |
| 5 296× | lower-fma.f64 |
| 4 890× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 95 |
| 0 | 35 | 87 |
| 1 | 119 | 87 |
| 2 | 808 | 87 |
| 0 | 9189 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(/.f64 #s(literal 100 binary64) (+.f64 x y)) |
(+.f64 x y) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(/.f64 #s(literal -100 binary64) x) |
(/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) |
(/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) x) |
| Outputs |
|---|
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) y) (*.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))))) |
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) y) (*.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal 100 binary64) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (/.f64 x (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) #s(literal -1/100 binary64))) (/.f64 x (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) y) (*.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x x) (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 x y)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) y) (*.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) x)) |
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(/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 x y)) (+.f64 x y)) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 x (-.f64 x y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) x) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 x (-.f64 x y)) |
(*.f64 x (*.f64 (-.f64 x y) #s(literal 1 binary64))) |
(*.f64 (-.f64 x y) x) |
(*.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 x (+.f64 x y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) x)) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (/.f64 x (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
Compiled 49 460 to 3 830 computations (92.3% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 073 | 6 | 2 079 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 078 | 12 | 2 090 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) | |
| ▶ | 52.6% | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
| 48.8% | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) | |
| 99.3% | (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) | |
| ▶ | 99.7% | (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| ▶ | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) |
| ▶ | 52.6% | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
| 48.9% | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) | |
| ✓ | 48.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
| ▶ | 52.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
| ✓ | 49.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 180 to 117 computations (35% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x y)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 1/100 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) y) | |
| cost-diff | 0 | #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 100 binary64) x) y) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 x (+.f64 x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
| 124× | lower-*.f32 |
| 112× | lower-*.f64 |
| 48× | associate-*r* |
| 46× | *-commutative |
| 40× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 118 |
| 0 | 38 | 116 |
| 1 | 55 | 116 |
| 2 | 78 | 116 |
| 3 | 104 | 116 |
| 4 | 136 | 116 |
| 5 | 154 | 116 |
| 6 | 157 | 116 |
| 0 | 157 | 116 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(*.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
y |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) |
(/.f64 #s(literal 100 binary64) y) |
#s(literal 100 binary64) |
y |
x |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
x |
#s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) |
(*.f64 y #s(literal 1/100 binary64)) |
y |
#s(literal 1/100 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
#s(literal 1 binary64) |
(+.f64 x y) |
x |
y |
(*.f64 x #s(literal 100 binary64)) |
#s(literal 100 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(/.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 x (/.f64 #s(literal 100 binary64) y))) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(*.f64 x (/.f64 #s(literal 100 binary64) y)) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 x #s(literal 100 binary64)) |
#s(literal 100 binary64) |
x |
y |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
(*.f64 x #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y))) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) |
(/.f64 #s(literal 100 binary64) y) |
#s(literal 100 binary64) |
y |
x |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
x |
#s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) |
(*.f64 y #s(literal 1/100 binary64)) |
y |
#s(literal 1/100 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
#s(literal 1 binary64) |
(+.f64 x y) |
x |
y |
(*.f64 x #s(literal 100 binary64)) |
#s(literal 100 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (+.f64 x y)) | |
| accuracy | 0.33822250976844204 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) | |
| accuracy | 0.12109375 | (*.f64 y #s(literal 1/100 binary64)) | |
| accuracy | 0.20703125 | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) | |
| accuracy | 30.099856010827665 | #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 100 binary64) y) | |
| accuracy | 0.16015625 | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) | |
| accuracy | 30.12604702704434 | #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal 100 binary64) x) | |
| accuracy | 0.20703125 | (/.f64 (*.f64 #s(literal 100 binary64) x) y) | |
| accuracy | 30.229606458170444 | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 x y)) | |
| accuracy | 0.1931848719543147 | (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
| 81.0ms | 256× | 0 | valid |
Compiled 98 to 22 computations (77.6% saved)
const: 33.0ms (54.7% of total)ival-div: 15.0ms (24.9% of total)ival-mult: 10.0ms (16.6% of total)ival-add: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) (patch (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) (patch #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) (patch (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) (patch #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/100 binary64)) (patch (*.f64 y #s(literal 1/100 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ x y) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (* x 100) (+ x y)) |
| 2.0ms | y | @ | inf | (/ (* 100 x) y) |
| 1.0ms | x | @ | -inf | (/ 1 (+ x y)) |
| 0.0ms | x | @ | 0 | (/ (* 100 x) y) |
| 0.0ms | x | @ | inf | (/ (* 100 x) y) |
| 1× | egg-herbie |
| 10 978× | lower-fma.f64 |
| 10 978× | lower-fma.f32 |
| 4 116× | lower-*.f64 |
| 4 116× | lower-*.f32 |
| 3 266× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 372 | 3328 |
| 1 | 1170 | 3099 |
| 2 | 2914 | 2895 |
| 3 | 7746 | 2868 |
| 0 | 8408 | 2652 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/ 100 x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/ 100 x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(/ 100 y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ 100 y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 y) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 x) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* 1/100 x) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* 1/100 x) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 y) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* 1/100 y) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/ 1 x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ 1 y) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
| Outputs |
|---|
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 100 binary64) y))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (*.f64 #s(literal -100 binary64) (/.f64 (*.f64 x x) y))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y)))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 x #s(literal -100 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x (*.f64 x #s(literal -100 binary64))))) y) (*.f64 x (*.f64 x #s(literal -100 binary64)))) y)) (neg.f64 y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x) y) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 x (fma.f64 x (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x x))) y)) y)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x x))) y)) y)) y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 x (/.f64 y y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 x (/.f64 y y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 x (/.f64 y y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 x (/.f64 y y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 x (/.f64 y y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 x (/.f64 y y) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 100 binary64) y))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (*.f64 #s(literal -100 binary64) (/.f64 (*.f64 x x) y))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y)))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 x #s(literal -100 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x (*.f64 x #s(literal -100 binary64))))) y) (*.f64 x (*.f64 x #s(literal -100 binary64)))) y)) (neg.f64 y)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y)) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 100 binary64) y))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 #s(literal -100 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x) #s(literal 100 binary64)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 y x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (*.f64 #s(literal -100 binary64) (/.f64 (*.f64 x x) y))) y) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 y (-.f64 (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (neg.f64 y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (neg.f64 y)) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
| 4 694× | lower-*.f32 |
| 4 682× | lower-*.f64 |
| 4 042× | lower-/.f32 |
| 4 032× | lower-/.f64 |
| 2 040× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 99 |
| 0 | 38 | 97 |
| 1 | 111 | 97 |
| 2 | 462 | 97 |
| 3 | 3582 | 97 |
| 0 | 9331 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) |
(/.f64 #s(literal 100 binary64) y) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
#s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64))) |
(*.f64 y #s(literal 1/100 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (+.f64 x y)) #s(literal -100 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) #s(literal -100 binary64))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 x (+.f64 x y)) #s(literal -100 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64)))) |
(/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64)))) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 (+.f64 x y) x))) |
(/.f64 (neg.f64 x) (*.f64 (+.f64 x y) #s(literal -1/100 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 (/.f64 #s(literal 1/100 binary64) x))) |
(/.f64 (*.f64 (/.f64 x (+.f64 x y)) #s(literal -100 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal -1/100 binary64)) |
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (-.f64 x y)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64)))) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) (*.f64 x #s(literal 100 binary64)))) (*.f64 (+.f64 x y) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (neg.f64 x) y) (*.f64 x #s(literal -100 binary64)))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (neg.f64 x) y) (*.f64 (/.f64 x (+.f64 x y)) #s(literal -100 binary64)))) (-.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (*.f64 x #s(literal -100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 1/100 binary64))) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64))) (-.f64 (neg.f64 x) y)) |
(pow.f64 (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal 1/100 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
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(/.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (+.f64 x y)) |
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) y)) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) x) y)) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) x) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) y)) (*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 x y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (+.f64 (neg.f64 x) y)) |
(pow.f64 (+.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (pow.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 y y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -100 binary64))) |
(neg.f64 (*.f64 x #s(literal -100 binary64))) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 100 binary64))) |
(*.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -100 binary64))) |
(*.f64 #s(literal -100 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal -100 binary64)) |
Compiled 27 249 to 2 524 computations (90.7% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 365 | 3 | 1 368 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 368 | 12 | 1 380 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
| ✓ | 52.6% | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
| ▶ | 48.8% | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| ▶ | 52.5% | (*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 52.6% | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
| ▶ | 48.9% | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
| ▶ | 52.5% | (*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) |
| ✓ | 48.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
| ✓ | 52.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
| 52.1% | #s(approx (/ (* x 100) (+ x y)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) | |
| ✓ | 49.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 150 to 96 computations (36% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/100 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/100 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) | |
| cost-diff | 192 | (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) |
| 28× | lower-*.f32 |
| 22× | lower-/.f32 |
| 18× | lower-*.f64 |
| 14× | *-commutative |
| 12× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 132 |
| 0 | 36 | 124 |
| 1 | 51 | 124 |
| 2 | 55 | 124 |
| 0 | 55 | 124 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
x |
(fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) |
y |
#s(literal 1/100 binary64) |
(*.f64 x #s(literal 1/100 binary64)) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) |
(/.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 100 binary64) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
x |
#s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) |
(*.f64 x #s(literal 1/100 binary64)) |
#s(literal 1/100 binary64) |
(*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) |
#s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 100 binary64) |
x |
| Outputs |
|---|
(/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) (+.f64 x y))) |
x |
(fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
y |
#s(literal 1/100 binary64) |
(*.f64 x #s(literal 1/100 binary64)) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
(*.f64 x #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x))) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) |
(/.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ x (+ x y)) (/.f64 x y))) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 100 binary64) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
x |
#s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) |
(*.f64 x #s(literal 1/100 binary64)) |
#s(literal 1/100 binary64) |
(*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) |
(*.f64 x #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y))) |
#s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) |
(/.f64 #s(literal 100 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 100 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.16015625 | (*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) | |
| accuracy | 0.2421875 | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) | |
| accuracy | 30.12604702704434 | #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) | |
| accuracy | 0.125 | (*.f64 x #s(literal 1/100 binary64)) | |
| accuracy | 0.20703125 | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) | |
| accuracy | 32.75118417189567 | #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1931848719543147 | (*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) | |
| accuracy | 30.22875802513648 | #s(approx (/ x (+ x y)) (/.f64 x y)) | |
| accuracy | 0 | (/.f64 #s(literal 100 binary64) x) | |
| accuracy | 0.16015625 | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) | |
| accuracy | 32.763493377567656 | #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) | |
| accuracy | 0.0859375 | (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) | |
| accuracy | 0.125 | (*.f64 x #s(literal 1/100 binary64)) | |
| accuracy | 0.20703125 | (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
| 65.0ms | 256× | 0 | valid |
Compiled 100 to 22 computations (78% saved)
ival-mult: 29.0ms (56.3% of total)ival-div: 16.0ms (31% of total)const: 4.0ms (7.8% of total)ival-add: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) (patch (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) (patch #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 100 binary64) x) (patch (/.f64 #s(literal 100 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) (patch #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) (patch (*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) (patch #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/100 x) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/100 (* 1/100 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/100 (* 1/100 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/100 (* 1/100 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/100 (* 1/100 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/100 (* 1/100 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/100 (* 1/100 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) (patch (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))) (* 100 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -100 (/ (pow x 4) (pow y 3))) (* 100 x)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 2) y)))) y) (taylor inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 4) y)) (* 100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) (patch (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/100 binary64)) (patch (*.f64 x #s(literal 1/100 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* 100 (/ x y)) 100) y)) (taylor -inf y) (#s(alt #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) (patch #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) (taylor -inf y) (#s(alt #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) (patch #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) (taylor -inf y) (#s(alt #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) (patch #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 163.0ms | y | @ | -inf | (/ 1 y) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | inf | (/ x (+ (* y 1/100) (* x 1/100))) |
| 0.0ms | x | @ | inf | (/ x y) |
| 0.0ms | y | @ | -inf | (/ x y) |
| 1× | egg-herbie |
| 10 794× | lower-fma.f64 |
| 10 794× | lower-fma.f32 |
| 4 438× | lower-*.f64 |
| 4 438× | lower-*.f32 |
| 2 628× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 3375 |
| 1 | 1007 | 3098 |
| 2 | 2563 | 2927 |
| 0 | 8043 | 2699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/100 x) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 y) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* 1/100 y) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* 1/100 y) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 x) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* 1/100 x) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (- (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))) (* 100 (/ (pow x 2) y))) y) |
(/ (- (+ (* -100 (/ (pow x 4) (pow y 3))) (* 100 x)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 2) y)))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 4) y)) (* 100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/ 100 x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/ 100 x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(/ 100 y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ 100 y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(/ 100 x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) 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) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 y) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 x) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* 1/100 x) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* 1/100 x) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 y) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* 1/100 y) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/ 100 x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/ 100 x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(/ 100 y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ 100 y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) 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) |
| Outputs |
|---|
(* 1/100 x) |
(*.f64 #s(literal 1/100 binary64) x) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 y (fma.f64 #s(literal 1/100 binary64) (/.f64 x y) #s(literal 1/100 binary64))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 y (fma.f64 #s(literal 1/100 binary64) (/.f64 x y) #s(literal 1/100 binary64))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 y (fma.f64 #s(literal 1/100 binary64) (/.f64 x y) #s(literal 1/100 binary64))) |
(* 1/100 y) |
(*.f64 #s(literal 1/100 binary64) y) |
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(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 #s(literal 100 binary64) x) #s(literal -100 binary64)) x) #s(literal 100 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y y) x) y)) x))) x)) x) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(/.f64 (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)) x) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) x)) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 y (fma.f64 y (*.f64 y (/.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (/.f64 #s(literal 100 binary64) x)) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 100 binary64) y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) (fma.f64 (/.f64 #s(literal -100 binary64) (*.f64 y y)) (*.f64 x (fma.f64 x (/.f64 x y) (neg.f64 x))) #s(literal 100 binary64))) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(/.f64 (fma.f64 x (/.f64 #s(literal -100 binary64) y) #s(literal 100 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 100 binary64) y) #s(literal -100 binary64)) y) #s(literal 100 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x)) y)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
| 4 740× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 4 304× | lower-fma.f32 |
| 4 302× | lower-fma.f64 |
| 3 122× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 36 | 107 |
| 1 | 118 | 107 |
| 2 | 614 | 107 |
| 3 | 5879 | 107 |
| 0 | 8299 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64))) |
(/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
(*.f64 x #s(literal 1/100 binary64)) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) |
(/.f64 #s(literal 100 binary64) x) |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
#s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) |
(*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) |
#s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/100 binary64) x) (*.f64 y #s(literal 1/100 binary64))) |
(+.f64 (*.f64 #s(literal 1/100 binary64) x) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(+.f64 (*.f64 y #s(literal 1/100 binary64)) (*.f64 #s(literal 1/100 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y y) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(+.f64 (neg.f64 (*.f64 y #s(literal -1/100 binary64))) (*.f64 #s(literal 1/100 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) (+.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) (+.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) #s(literal -1/100 binary64))) |
(-.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y y) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 100 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 100 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 100 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 100 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/10000 binary64))) (*.f64 #s(literal 1/100 binary64) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/10000 binary64))) (*.f64 #s(literal 1/100 binary64) (-.f64 x y)))) |
(fma.f64 y #s(literal 1/100 binary64) (*.f64 #s(literal 1/100 binary64) x)) |
(fma.f64 y (/.f64 (*.f64 y #s(literal 1/10000 binary64)) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 #s(literal 1/100 binary64) y (*.f64 #s(literal 1/100 binary64) x)) |
(fma.f64 #s(literal 1/100 binary64) x (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 #s(literal 1/100 binary64) x (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 y y)) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 x #s(literal 1/100 binary64) (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 x #s(literal 1/100 binary64) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64) (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) x) (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) x) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 y y)) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (*.f64 y #s(literal 1/100 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) x)) |
(fma.f64 (*.f64 y #s(literal 1/100 binary64)) (/.f64 (*.f64 y #s(literal 1/100 binary64)) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/100 binary64)) (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/100 binary64)) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 (neg.f64 x) #s(literal -1/100 binary64) (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1/100 binary64) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/10000 binary64))) (/.f64 #s(literal 100 binary64) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/10000 binary64) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 #s(literal 1/10000 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 #s(literal -1/100 binary64) (neg.f64 x) (*.f64 y #s(literal 1/100 binary64))) |
(fma.f64 #s(literal -1/100 binary64) (neg.f64 x) (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(fma.f64 (*.f64 y #s(literal 1/10000 binary64)) (/.f64 y (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 y y)) (/.f64 #s(literal 1/100 binary64) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 y #s(literal 1/100 binary64)) (/.f64 (*.f64 y #s(literal 1/10000 binary64)) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 1/100 binary64)) #s(literal 1/100 binary64)) (/.f64 (*.f64 y #s(literal 1/100 binary64)) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1/100 binary64)) (/.f64 #s(literal 1/10000 binary64) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y #s(literal 1/10000 binary64)) #s(literal 1/100 binary64)) (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 y y)) #s(literal 1/100 binary64)) (/.f64 #s(literal 1/100 binary64) (-.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/10000 binary64))) (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 #s(literal 1/100 binary64) (+.f64 y x)) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/10000 binary64))) (*.f64 #s(literal 1/1000000 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (+.f64 y x))) (neg.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (-.f64 y x))))) |
(neg.f64 (*.f64 (+.f64 y x) #s(literal -1/100 binary64))) |
(/.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 #s(literal 1/100 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 100 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/100 binary64) (-.f64 x y)) (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal 1/100 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(literal 1/100 binary64) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) (+.f64 y x))) |
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -100 binary64)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal -1/100 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y)))))) |
(/.f64 (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y))))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 100 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -100 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) |
(/.f64 (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (*.f64 #s(literal -1/100 binary64) (-.f64 y x)))) |
(/.f64 (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 100 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal -100 binary64) (+.f64 (neg.f64 x) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 #s(literal 100 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 100 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -100 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (neg.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (*.f64 #s(literal 100 binary64) (+.f64 (neg.f64 x) y))) |
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (*.f64 #s(literal -100 binary64) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 #s(literal -1/100 binary64) (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/100 binary64) (-.f64 y x)))) |
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(*.f64 (/.f64 x (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) |
(*.f64 (/.f64 x (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (-.f64 y x)))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 100 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 #s(literal 100 binary64) (-.f64 x y))) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (-.f64 x y) #s(literal 1/100 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -100 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (*.f64 x (/.f64 #s(literal 100 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))) (*.f64 #s(literal 1/100 binary64) (-.f64 y x))) |
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) #s(literal 1/100 binary64)) (-.f64 y x)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y))))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 #s(literal -1/100 binary64) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 #s(literal 1/1000000 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/10000 binary64)) (*.f64 (*.f64 x #s(literal 1/10000 binary64)) (-.f64 x y))))) |
(*.f64 (/.f64 x (neg.f64 (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))) (*.f64 #s(literal -1/100 binary64) (-.f64 y x))) |
(*.f64 (/.f64 x (*.f64 #s(literal 1/10000 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (*.f64 #s(literal 1/100 binary64) (-.f64 x y))) |
(*.f64 (/.f64 x (*.f64 #s(literal 1/100 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 #s(literal 1/100 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y))) (+.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/100 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/100 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) x))) |
(/.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x #s(literal 100 binary64)) |
(/.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 100 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 100 binary64) x))) |
(/.f64 (neg.f64 x) #s(literal -100 binary64)) |
(/.f64 (*.f64 x #s(literal -1/100 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 100 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/100 binary64) x) |
(*.f64 x #s(literal 1/100 binary64)) |
(*.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/100 binary64))) |
(*.f64 (neg.f64 x) #s(literal -1/100 binary64)) |
(*.f64 #s(literal -1/100 binary64) (neg.f64 x)) |
(*.f64 x #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x))) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) x)) |
(neg.f64 (/.f64 #s(literal -100 binary64) x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/100 binary64) x))) |
(/.f64 #s(literal 100 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/100 binary64))) |
(/.f64 #s(literal -100 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/100 binary64)) |
(pow.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/10000 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) x)) |
(*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 100 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -100 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/100 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ x (+ x y)) (/.f64 x y))) |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/.f64 x y) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) (/.f64 (neg.f64 x) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) x))) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) (neg.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(pow.f64 (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) x) (/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) x)) #s(literal -1/2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(*.f64 (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) x) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(neg.f64 (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(/.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(/.f64 (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal -1 binary64)) |
#s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ x y) 1/100) (*.f64 #s(literal 1/100 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/100 binary64))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 100 binary64))) |
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 #s(literal -100 binary64) y)) |
(/.f64 #s(literal 100 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/100 binary64))) |
(/.f64 #s(literal -100 binary64) (neg.f64 y)) |
(pow.f64 (*.f64 y #s(literal 1/100 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 100 binary64))) |
(*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 100 binary64))) |
(*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 x #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y))) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
#s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) |
(exp.f64 (neg.f64 (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
Compiled 11 745 to 1 332 computations (88.7% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 0 | 797 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 797 | 12 | 809 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
| ✓ | 52.6% | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
| ✓ | 48.8% | (/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| ✓ | 52.5% | (*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
| ✓ | 52.6% | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
| ✓ | 48.9% | (*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
| ✓ | 52.5% | (*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) |
| ✓ | 48.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
| ✓ | 52.6% | #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
| 52.1% | #s(approx (/ (* x 100) (+ x y)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) | |
| ✓ | 49.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 271 to 123 computations (54.6% saved)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(/.f64 x (*.f64 (+.f64 x y) #s(literal 1/100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 #s(approx (/ 100 (+ x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))) x) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(/.f64 x (fma.f64 y #s(literal 1/100 binary64) (*.f64 x #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 x #s(literal 100 binary64))) |
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (*.f64 #s(literal 100 binary64) (-.f64 x y)))) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (fma.f64 #s(literal 100 binary64) x (*.f64 (/.f64 x y) (*.f64 x (fma.f64 #s(literal 100 binary64) (/.f64 x y) #s(literal -100 binary64))))) y)) |
(*.f64 #s(literal -100 binary64) (pow.f64 (/.f64 (-.f64 (neg.f64 y) x) x) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
3 calls:
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64))) |
3 calls:
| 4.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 3 | x |
| 78.2% | 3 | y |
| 98.6% | 2 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) x)) x) |
(*.f64 #s(approx (/ 100 (+ x y)) (/.f64 #s(literal 100 binary64) y)) x) |
(*.f64 #s(approx (/ x (+ x y)) (/.f64 x y)) #s(literal 100 binary64)) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 x #s(literal 1/100 binary64)))) |
(/.f64 x #s(approx (* (+ x y) 1/100) (*.f64 y #s(literal 1/100 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 6 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
3 calls:
| 8.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | y |
| 49.0% | 1 | x |
| 49.0% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5680513912065184 | 99.9445042920602 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5680513912065184 | 99.9445042920602 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 85 |
| 1 | 29 | 85 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 y (/.f64 #s(literal -100 binary64) x) #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| 15 982× | lower-fma.f64 |
| 15 982× | lower-fma.f32 |
| 4 492× | lower-/.f32 |
| 4 490× | lower-/.f64 |
| 4 158× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 463 |
| 1 | 400 | 440 |
| 2 | 986 | 420 |
| 3 | 3162 | 406 |
| 4 | 7111 | 406 |
| 0 | 8145 | 375 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 34 | 13 |
| 2 | 218 | 13 |
| 3 | 2144 | 13 |
| 0 | 8195 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 96 to 46 computations (52.1% saved)
Compiled 144 to 60 computations (58.3% saved)
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