
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 507.0ms | 8 256× | 0 | valid |
ival-mult: 112.0ms (69.6% of total)ival-add: 36.0ms (22.4% of total)ival-true: 6.0ms (3.7% of total)exact: 4.0ms (2.5% of total)ival-assert: 3.0ms (1.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 0 | - | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) | n*o | 14 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 122.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 7.0ms (72.3% of total)ival-add: 2.0ms (20.7% 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 |
| 158× | associate-*r* |
| 124× | distribute-lft-in |
| 112× | unsub-neg |
| 92× | associate-*l* |
| 82× | distribute-lft-neg-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 65 | 37 |
| 2 | 194 | 35 |
| 3 | 463 | 35 |
| 4 | 639 | 35 |
| 5 | 762 | 35 |
| 6 | 789 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 19 | 7 |
| 2 | 27 | 7 |
| 3 | 49 | 7 |
| 4 | 49 | 7 |
| 0 | 49 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(abs y)
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 46× | lower-*.f32 |
| 42× | lower-*.f64 |
| 22× | lower-fma.f64 |
| 22× | lower-fma.f32 |
| 14× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 19 | 18 |
| 2 | 27 | 18 |
| 3 | 49 | 18 |
| 4 | 49 | 18 |
| 0 | 49 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 y y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 3.3241355006128557 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 10.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 3.0ms (66.2% of total)ival-add: 1.0ms (22.1% 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 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | -inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1× | egg-herbie |
| 9 064× | lower-fma.f64 |
| 9 064× | lower-fma.f32 |
| 6 574× | lower-*.f64 |
| 6 574× | lower-*.f32 |
| 2 432× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 246 |
| 1 | 42 | 246 |
| 2 | 74 | 246 |
| 3 | 214 | 246 |
| 4 | 721 | 246 |
| 5 | 1940 | 246 |
| 6 | 2658 | 246 |
| 7 | 3752 | 246 |
| 8 | 5094 | 246 |
| 9 | 5986 | 246 |
| 10 | 6927 | 246 |
| 11 | 7270 | 246 |
| 12 | 7376 | 246 |
| 13 | 7453 | 246 |
| 14 | 7522 | 246 |
| 15 | 7669 | 246 |
| 0 | 8207 | 216 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(+ x (* x (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(+ x (* x (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
| 5 176× | lower-fma.f64 |
| 5 176× | lower-fma.f32 |
| 4 882× | lower-/.f64 |
| 4 882× | lower-/.f32 |
| 4 246× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (*.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x))) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64) x) |
(fma.f64 x (*.f64 y y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y y))) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 y (*.f64 x y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 y y)) x))) |
(-.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(+.f64 (*.f64 x (*.f64 y y)) x) |
(+.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 9 642 to 1 119 computations (88.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 5 | 415 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 5 | 416 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 69.1% | (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
| ▶ | 94.8% | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
| ▶ | 45.3% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ▶ | 53.8% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 72 to 62 computations (13.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 6848 | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) y x) |
| 8 912× | lower-fma.f32 |
| 8 906× | lower-fma.f64 |
| 2 458× | lower-*.f32 |
| 2 448× | lower-*.f64 |
| 2 078× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 112 |
| 0 | 36 | 106 |
| 1 | 56 | 106 |
| 2 | 81 | 106 |
| 3 | 144 | 106 |
| 4 | 238 | 106 |
| 5 | 519 | 106 |
| 6 | 1105 | 106 |
| 7 | 1949 | 106 |
| 8 | 3939 | 106 |
| 9 | 5645 | 106 |
| 10 | 6965 | 106 |
| 11 | 7649 | 106 |
| 0 | 8022 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
x |
y |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
x |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
x |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) |
x |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
(*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x) |
x |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0 | (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 2.574827485147557 | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 14.468068697509713 | (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.37242355653546516 | (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 3.3124167506128557 | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 3.3241355006128557 | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) | |
| accuracy | 31.859995611444887 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| accuracy | 3.3241355006128557 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| accuracy | 29.795850239569727 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 x y) y x) |
| 69.0ms | 256× | 0 | valid |
Compiled 108 to 21 computations (80.6% saved)
ival-div: 36.0ms (66.5% of total)ival-mult: 7.0ms (12.9% of total)ival-pow: 5.0ms (9.2% of total)ival-add: 4.0ms (7.4% of total)ival-sub: 1.0ms (1.8% 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 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 3.0ms | x | @ | inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 2.0ms | y | @ | inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 2.0ms | x | @ | 0 | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 2.0ms | y | @ | -inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 1× | egg-herbie |
| 8 950× | lower-fma.f64 |
| 8 950× | lower-fma.f32 |
| 3 356× | lower-*.f64 |
| 3 356× | lower-*.f32 |
| 1 852× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 1542 |
| 1 | 142 | 1519 |
| 2 | 330 | 1515 |
| 3 | 954 | 1511 |
| 4 | 3817 | 1511 |
| 5 | 7851 | 1511 |
| 0 | 8255 | 1378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
-1 |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
| Outputs |
|---|
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
| 8 136× | lower-fma.f32 |
| 8 130× | lower-fma.f64 |
| 5 230× | lower-*.f32 |
| 5 220× | lower-*.f64 |
| 4 420× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 93 |
| 0 | 36 | 81 |
| 1 | 141 | 81 |
| 2 | 857 | 81 |
| 0 | 8423 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)))) (fma.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (pow.f64 y #s(literal 24 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))) (fma.f64 (*.f64 y x) y x)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 36 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 12 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 24 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64))))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(+.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y))) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) y) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 y (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(*.f64 y (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
Compiled 38 486 to 3 221 computations (91.6% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 888 | 4 | 1 892 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 890 | 7 | 1 897 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 69.0% | (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
| ▶ | 45.3% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| ▶ | 99.4% | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
| ▶ | 86.7% | (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 45.3% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 53.8% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 78 to 50 computations (35.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 320 | (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 1792 | (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 26880 | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 1408 | (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
| 14 242× | lower-fma.f32 |
| 14 236× | lower-fma.f64 |
| 3 160× | lower-*.f32 |
| 3 146× | lower-*.f64 |
| 2 542× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 197 |
| 0 | 46 | 193 |
| 1 | 86 | 187 |
| 2 | 216 | 187 |
| 3 | 1022 | 155 |
| 4 | 5167 | 155 |
| 5 | 7841 | 155 |
| 0 | 8178 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 2.574827485147557 | (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 14.468068697509713 | (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.42320480653546516 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 3.3124167506128557 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| accuracy | 31.86322348868521 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 0.2822359015982476 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) | |
| accuracy | 0.34765625 | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) | |
| accuracy | 11.028292423735023 | (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 7.639161786885645 | (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
| 70.0ms | 256× | 0 | valid |
Compiled 204 to 27 computations (86.8% saved)
ival-mult: 25.0ms (50.2% of total)ival-pow: 10.0ms (20.1% of total)ival-div: 8.0ms (16.1% of total)ival-add: 4.0ms (8% of total)ival-sub: 1.0ms (2% 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 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (* -1 (* x y)) x))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 (* -1 y))) 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 (* y (- y 1)))) 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x)) |
| 5.0ms | x | @ | 0 | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x)) |
| 4.0ms | x | @ | -inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x)) |
| 2.0ms | y | @ | -inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x)) |
| 2.0ms | y | @ | inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x)) |
| 1× | egg-herbie |
| 11 936× | lower-fma.f64 |
| 11 936× | lower-fma.f32 |
| 4 922× | lower-*.f64 |
| 4 922× | lower-*.f32 |
| 2 080× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2260 |
| 1 | 564 | 2197 |
| 2 | 1665 | 2125 |
| 3 | 5958 | 2116 |
| 0 | 8589 | 1964 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x y))) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
-1 |
(- y 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
-1 |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ x y) |
(/ (+ x (/ x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
| Outputs |
|---|
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(*.f64 x (-.f64 #s(literal -1 binary64) y)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(neg.f64 (fma.f64 (fma.f64 y x x) y x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(fma.f64 (neg.f64 (fma.f64 (fma.f64 y x x) y x)) y (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (* y (+ 1 (* -1 y))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/8 binary64))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(fma.f64 (/.f64 (neg.f64 y) x) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (*.f64 y y) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(fma.f64 (fma.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (/ x y)) y) |
(/.f64 (+.f64 (/.f64 x y) x) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) y) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (- 1 (/ 1 y))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (sqrt.f64 x)) y) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(fma.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 x)) y (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64))) |
(/ 1 (* x (pow y 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* x (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) |
(/.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))) |
(-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (neg.f64 y))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (sqrt.f64 x)) (neg.f64 y)) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))) |
(neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 x)) y (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)))) |
(/ 1 (* x (pow y 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* x (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
| 4 596× | lower-*.f32 |
| 4 582× | lower-*.f64 |
| 4 476× | lower-fma.f32 |
| 4 470× | lower-fma.f64 |
| 4 446× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 154 |
| 0 | 46 | 140 |
| 1 | 188 | 99 |
| 2 | 1328 | 95 |
| 0 | 8460 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(expm1.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) (/.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) x) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 x (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))) (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x)) (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) |
(fma.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x)) |
(+.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) |
Compiled 44 612 to 3 797 computations (91.5% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 806 | 4 | 1 810 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 3 | 3 |
| Total | 1 809 | 8 | 1 817 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 19.6% | (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 45.3% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| ▶ | 99.7% | (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) |
| ▶ | 35.3% | (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 45.3% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 53.8% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 88 to 58 computations (34.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 576 | (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 y x) y x)) | |
| cost-diff | 2304 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (- y 1)) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
| 11 482× | lower-fma.f32 |
| 11 476× | lower-fma.f64 |
| 2 876× | lower-*.f32 |
| 2 858× | lower-*.f64 |
| 2 228× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 238 |
| 0 | 52 | 229 |
| 1 | 85 | 229 |
| 2 | 177 | 229 |
| 3 | 485 | 224 |
| 4 | 1324 | 224 |
| 5 | 3022 | 224 |
| 6 | 4819 | 224 |
| 7 | 7929 | 224 |
| 0 | 8339 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ x (- y 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) |
(sqrt.f64 (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
#s(literal 3/4 binary64) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ x (- y 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt.f64 (fma.f64 (*.f64 y x) y x)) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y x) |
y |
x |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3/4 binary64))) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) |
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3/4 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y x) |
y |
x |
#s(literal 3/4 binary64) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (-.f64 y #s(literal 1 binary64))) x) |
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (fma.f64 y x x) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) |
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 y #s(literal -1 binary64)) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) |
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) | |
| accuracy | 2.574827485147557 | (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 14.468068697509713 | (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 31.862129000675054 | #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 0.203125 | (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) | |
| accuracy | 4.87033616764781 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) | |
| accuracy | 15.300070576571354 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 0.34765625 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) | |
| accuracy | 11.262070055017665 | (sqrt.f64 (fma.f64 (*.f64 y x) y x)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 7.639161786885645 | (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) | |
| accuracy | 32.881332996417704 | #s(approx (/ x (- y 1)) (/.f64 x y)) |
| 99.0ms | 256× | 0 | valid |
Compiled 218 to 30 computations (86.2% saved)
ival-mult: 30.0ms (55.5% of total)ival-pow: 10.0ms (18.5% of total)ival-div: 5.0ms (9.3% of total)ival-add: 4.0ms (7.4% of total)ival-sub: 2.0ms (3.7% of total)ival-sqrt: 2.0ms (3.7% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- y 1)) (/.f64 x y)) (patch #s(approx (/ x (- y 1)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) (patch (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (patch #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (patch (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (/ x (- y 1)) (/.f64 x y)) (patch #s(approx (/ x (- y 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (- y 1)) (/.f64 x y)) (patch #s(approx (/ x (- y 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (* -1 (* x y)) x))) (taylor 0 y) (#s(alt #s(approx (/ x (- y 1)) (/.f64 x y)) (patch #s(approx (/ x (- y 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) (taylor 0 y) (#s(alt #s(approx (/ x (- y 1)) (/.f64 x y)) (patch #s(approx (/ x (- y 1)) (/.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 (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 (* -1 y))) 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 (* y (- y 1)))) 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 138.0ms | x | @ | -inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y)) |
| 91.0ms | x | @ | 0 | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y)) |
| 19.0ms | x | @ | inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y)) |
| 6.0ms | y | @ | -inf | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y)) |
| 5.0ms | y | @ | 0 | ((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y)) |
| 1× | egg-herbie |
| 11 554× | lower-fma.f64 |
| 11 554× | lower-fma.f32 |
| 5 968× | lower-*.f64 |
| 5 968× | lower-*.f32 |
| 3 512× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 4212 |
| 1 | 1042 | 4059 |
| 2 | 3642 | 3519 |
| 0 | 8447 | 3307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x y))) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-1 |
(- y 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(pow (* 1 (pow x 3)) 1/4) |
(+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (* (pow y 2) (+ (* 2 (pow x 3)) (pow x 3))))) (pow (* 1 (pow x 3)) 1/4)) |
(+ (* (pow y 2) (+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (+ (* 2 (pow x 3)) (pow x 3)))) (* (pow (* 1 (pow x 3)) 1/4) (* (pow y 2) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6)))))))) (pow (* 1 (pow x 3)) 1/4)) |
(+ (* (pow y 2) (+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (+ (* 2 (pow x 3)) (pow x 3)))) (* (pow y 2) (+ (* (pow (* 1 (pow x 3)) 1/4) (* (pow y 2) (+ (* 1/2880 (+ 720 (+ (* -720 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 240 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (+ (* 1/384 (/ (* (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3)))) (+ (* 2 (pow x 3)) (pow x 3))) (pow x 3))) (* 1/384 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9))))))) (* (pow (* 1 (pow x 3)) 1/4) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))))))) (pow (* 1 (pow x 3)) 1/4)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
-1 |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
-1 |
(- y 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
(pow (* 1 x) 1/4) |
(+ (* 1/4 (* (pow (* 1 x) 1/4) (pow y 2))) (pow (* 1 x) 1/4)) |
(+ (* (pow y 2) (+ (* -3/32 (* (pow (* 1 x) 1/4) (pow y 2))) (* 1/4 (pow (* 1 x) 1/4)))) (pow (* 1 x) 1/4)) |
(+ (* (pow y 2) (+ (* 1/4 (pow (* 1 x) 1/4)) (* (pow y 2) (+ (* -3/32 (pow (* 1 x) 1/4)) (* 7/128 (* (pow (* 1 x) 1/4) (pow y 2))))))) (pow (* 1 x) 1/4)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- y 1)) |
(* (pow y 2) (- y 1)) |
(* (pow y 2) (- y 1)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ x y) |
(/ (+ x (/ x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) |
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2))))) |
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))) (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))) (pow y 4)))) |
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/2880 (+ 720 (+ (* -720 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 240 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (+ (* 1/384 (/ (* (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3)))) (+ (* 2 (pow x 3)) (pow x 3))) (pow x 3))) (* 1/384 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (pow y 6)) (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))) (pow y 4))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) |
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2)))) |
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))) |
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2)))))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) |
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2))))) |
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))) (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))) (pow y 4)))) |
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 1/2880 (+ 720 (+ (* -720 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 240 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (+ (* 1/384 (/ (* (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3)))) (+ (* 2 (pow x 3)) (pow x 3))) (pow x 3))) (* 1/384 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (pow y 6)) (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ -1 y)))))) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))) (pow y 4))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) |
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2)))) |
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))) |
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2)))))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* 3 (log x))))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* 3 (log x))))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* 3 (log x))))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* 3 (log x))))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2)))))) |
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2)))))) |
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2)))))) |
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2)))))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* -3 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* -3 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* -3 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log (pow (+ 1 (pow y 2)) 3)) (* -3 (log (/ 1 x)))))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x (- y 1)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(*.f64 x (-.f64 #s(literal -1 binary64) y)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) x))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x x) y x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x x) y x)) y (neg.f64 x)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (* y (+ 1 (* -1 y))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/8 binary64))))) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (* (pow y 2) (+ (* 2 (pow x 3)) (pow x 3))))) (pow (* 1 (pow x 3)) 1/4)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(+ (* (pow y 2) (+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (+ (* 2 (pow x 3)) (pow x 3)))) (* (pow (* 1 (pow x 3)) 1/4) (* (pow y 2) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6)))))))) (pow (* 1 (pow x 3)) 1/4)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) y) y) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -3/32 binary64) #s(literal 3/4 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(+ (* (pow y 2) (+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (+ (* 2 (pow x 3)) (pow x 3)))) (* (pow y 2) (+ (* (pow (* 1 (pow x 3)) 1/4) (* (pow y 2) (+ (* 1/2880 (+ 720 (+ (* -720 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 240 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (+ (* 1/384 (/ (* (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3)))) (+ (* 2 (pow x 3)) (pow x 3))) (pow x 3))) (* 1/384 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9))))))) (* (pow (* 1 (pow x 3)) 1/4) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))))))) (pow (* 1 (pow x 3)) 1/4)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -12 binary64) #s(literal 72 binary64)) #s(literal 3 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal 1/384 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 240 binary64) (*.f64 #s(literal -720 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1/2880 binary64) #s(literal 1/4 binary64))) (*.f64 y y) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -3/32 binary64) #s(literal 3/4 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (pow y 4))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)) |
(+ (* -1 x) (* x (pow y 4))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)) |
(+ (* -1 x) (* x (pow y 4))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (* y (+ 1 (* -1 y))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(+ (* 1/4 (* (pow (* 1 x) 1/4) (pow y 2))) (pow (* 1 x) 1/4)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(+ (* (pow y 2) (+ (* -3/32 (* (pow (* 1 x) 1/4) (pow y 2))) (* 1/4 (pow (* 1 x) 1/4)))) (pow (* 1 x) 1/4)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (*.f64 y y) #s(literal -3/32 binary64) #s(literal 1/4 binary64))) (*.f64 y y) (pow.f64 x #s(literal 1/4 binary64))) |
(+ (* (pow y 2) (+ (* 1/4 (pow (* 1 x) 1/4)) (* (pow y 2) (+ (* -3/32 (pow (* 1 x) 1/4)) (* 7/128 (* (pow (* 1 x) 1/4) (pow y 2))))))) (pow (* 1 x) 1/4)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 y y) #s(literal -3/32 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- y 1)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- y 1)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- y 1)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
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(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x)))))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x (- y 1)) |
(/.f64 x (-.f64 y #s(literal 1 binary64))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
| 6 938× | lower-fma.f32 |
| 6 932× | lower-fma.f64 |
| 5 350× | lower-*.f32 |
| 5 332× | lower-*.f64 |
| 3 662× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 52 | 177 |
| 1 | 177 | 177 |
| 2 | 1164 | 172 |
| 0 | 9021 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ x (- y 1)) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) |
(sqrt.f64 (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(-.f64 y #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ x (- y 1)) (/.f64 x y))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y)))) |
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y)))) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y)) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y)))) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal 1 binary64)))) |
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(fma.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) |
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(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) y)) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) y) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) y) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) y))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(fma.f64 (*.f64 y y) y (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 y (neg.f64 y) (pow.f64 y #s(literal 3 binary64))) |
(fma.f64 y (*.f64 y y) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))) |
(+.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) |
Compiled 50 991 to 4 202 computations (91.8% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 021 | 4 | 2 025 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 0 | 4 | 4 |
| Total | 2 025 | 8 | 2 033 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ✓ | 45.3% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| 99.6% | (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)))) | |
| 50.9% | (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(approx (sqrt (+ (* (* y x) y) x)) (*.f64 (sqrt.f64 x) y))) | |
| 36.0% | (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) | |
| 35.3% | (*.f64 #s(approx (/ x (- y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) | |
| ✓ | 45.3% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 53.8% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 311 to 128 computations (58.8% saved)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))) |
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ x (- y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(approx (sqrt (+ (* (* y x) y) x)) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
5 calls:
| 7.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 5.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 99.9% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
5 calls:
| 4.0ms | (*.f64 y y) |
| 2.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 3 | x |
| 94.2% | 2 | y |
| 78.2% | 2 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 94.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 94.2% | 2 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 1 | x |
| 53.8% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 53.8% | 1 | y |
| 53.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 53.8% | 1 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.224709716047104e-7 | 143113080.96015957 |
| 5.0ms | 160× | 0 | valid |
Compiled 90 to 121 computations (-34.4% saved)
ival-add: 1.0ms (49.2% of total)ival-mult: 1.0ms (49.2% 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 |
| 6× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 1 | 20 | 41 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y x) y x) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x)) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) |
| 9 064× | lower-fma.f64 |
| 9 064× | lower-fma.f32 |
| 6 574× | lower-*.f64 |
| 6 574× | lower-*.f32 |
| 5 176× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 246 |
| 1 | 42 | 246 |
| 2 | 74 | 246 |
| 3 | 214 | 246 |
| 4 | 721 | 246 |
| 5 | 1940 | 246 |
| 6 | 2658 | 246 |
| 7 | 3752 | 246 |
| 8 | 5094 | 246 |
| 9 | 5986 | 246 |
| 10 | 6927 | 246 |
| 11 | 7270 | 246 |
| 12 | 7376 | 246 |
| 13 | 7453 | 246 |
| 14 | 7522 | 246 |
| 15 | 7669 | 246 |
| 0 | 8207 | 216 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 50 to 32 computations (36% saved)
(negabs x)
(abs y)
Compiled 152 to 94 computations (38.2% saved)
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