
Time bar (total: 6.6s)
| 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)
| 504.0ms | 8 256× | 0 | valid |
ival-mult: 132.0ms (57.4% of total)ival-add: 83.0ms (36.1% of total)ival-true: 6.0ms (2.6% of total)exact: 5.0ms (2.2% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 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 | 17 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 0 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 0 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 49 to 22 computations (55.1% saved)
ival-mult: 9.0ms (74.9% of total)ival-add: 2.0ms (16.6% 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 |
| 79× | associate-*r* |
| 62× | distribute-lft-in |
| 56× | unsub-neg |
| 46× | associate-*l* |
| 41× | 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))) |
(fma.f64 (*.f64 y x) y x) |
(abs y)
(negabs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 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)) |
| 23× | lower-*.f32 |
| 21× | lower-*.f64 |
| 11× | lower-fma.f64 |
| 11× | lower-fma.f32 |
| 7× | 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))) |
(fma.f64 (*.f64 y x) y 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 | 4.0120557967757575 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 3.0ms (61.1% of total)ival-add: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 #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 (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 (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 (+ 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>) () ())) ()) |
#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 (* 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 (* 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 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 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 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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (+ 1 (* y y))) |
| 1.0ms | x | @ | -inf | (* x (+ 1 (* y y))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* y y))) |
| 0.0ms | y | @ | inf | (+ 1 (* y y)) |
| 0.0ms | y | @ | 0 | (+ 1 (* y y)) |
| 1× | egg-herbie |
| 4 532× | lower-fma.f64 |
| 4 532× | lower-fma.f32 |
| 3 287× | lower-*.f64 |
| 3 287× | lower-*.f32 |
| 1 234× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 246 |
| 1 | 42 | 246 |
| 2 | 74 | 246 |
| 3 | 212 | 246 |
| 4 | 695 | 246 |
| 5 | 1887 | 246 |
| 6 | 2663 | 246 |
| 7 | 3730 | 246 |
| 8 | 5074 | 246 |
| 9 | 5970 | 246 |
| 10 | 6935 | 246 |
| 11 | 7278 | 246 |
| 12 | 7397 | 246 |
| 13 | 7474 | 246 |
| 14 | 7543 | 246 |
| 15 | 7690 | 246 |
| 0 | 8226 | 216 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (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) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 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 (+ 1 (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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)) |
(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) (+ 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 (+ 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))) |
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))) |
(* 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))) |
(* 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) |
(*.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) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
| 2 588× | lower-fma.f64 |
| 2 588× | lower-fma.f32 |
| 2 441× | lower-/.f64 |
| 2 441× | lower-/.f32 |
| 2 123× | 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) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #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) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #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) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(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 15 373 to 1 104 computations (92.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 6 | 415 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 6 | 416 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 34.7% | (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) y) (*.f64 x y) (neg.f64 (*.f64 x x))) (fma.f64 x (*.f64 y y) (neg.f64 x))) | |
| ▶ | 93.7% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
| ▶ | 93.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
| ▶ | 46.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ▶ | 51.1% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 138 to 74 computations (46.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #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) |
| 43× | lower-*.f32 |
| 38× | lower-*.f64 |
| 28× | lower-/.f32 |
| 24× | lower-/.f64 |
| 13× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 106 |
| 0 | 30 | 96 |
| 1 | 53 | 96 |
| 2 | 73 | 96 |
| 3 | 131 | 96 |
| 4 | 146 | 96 |
| 5 | 151 | 96 |
| 0 | 151 | 96 |
| 1× | iter limit |
| 1× | saturated |
| 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 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (/.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 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
x |
(fma.f64 y y #s(literal 1 binary64)) |
y |
| 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 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(fma.f64 y y #s(literal 1 binary64)) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) | |
| accuracy | 0.22827541114846486 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) | |
| accuracy | 4.0120557967757575 | (*.f64 x (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.4198742199699388 | (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 3.694289700809961 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 4.0120557967757575 | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) | |
| accuracy | 30.447326778346074 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| accuracy | 4.0120557967757575 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| accuracy | 31.550044291927367 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 x y) y x) |
| 29.0ms | 256× | 0 | valid |
Compiled 104 to 17 computations (83.7% saved)
ival-div: 7.0ms (39.1% of total)ival-mult: 7.0ms (39.1% of total)ival-add: 3.0ms (16.8% 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 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (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 (+ 1 (pow y 2))) (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 (+ 1 (pow y 2))) (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 (+ 1 (pow y 2))) (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 (* -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 (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 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf 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 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x 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 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 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 y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 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 0 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 0 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 0 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)) #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)) #s(literal 1 binary64))) (patch (*.f64 x #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)) #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 (* x (pow y 2)) (taylor inf 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 (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf 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>) () ())) ()) |
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#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x y) |
| 1.0ms | x | @ | inf | (+ (* (* x y) y) x) |
| 0.0ms | x | @ | 0 | (/ 1 (* x (+ (* y y) 1))) |
| 0.0ms | x | @ | 0 | (+ (* (* x y) y) x) |
| 0.0ms | x | @ | inf | (/ 1 (* x (+ (* y y) 1))) |
| 1× | egg-herbie |
| 7 760× | lower-fma.f64 |
| 7 760× | lower-fma.f32 |
| 1 708× | lower-*.f64 |
| 1 708× | lower-*.f32 |
| 1 521× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 1676 |
| 1 | 178 | 1672 |
| 2 | 453 | 1664 |
| 3 | 1512 | 1648 |
| 4 | 3763 | 1634 |
| 0 | 8299 | 1459 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))) |
(* -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 |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 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 |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (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) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 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 (+ 1 (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (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) (+ 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) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 |
(+ 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 (/ 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 (/ 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 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (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) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 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 (+ 1 (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 (* 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)))) |
(/ 1 (* 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)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (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)) |
(/ 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)) |
(/ 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 (+ 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 |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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)))) |
| Outputs |
|---|
(* 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) |
(* -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 |
(+ 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 (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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 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 |
(+ 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 (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 |
#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) (+ 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) (+ 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 (+ 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 |
(+ 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 (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 |
#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) (+ 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) (+ 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) |
(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) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 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 |
(+ 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 (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 |
#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 (fma.f64 y y #s(literal -1 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))) (*.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)) |
(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) (+ 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 (+ 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 |
(+ 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 (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 (* 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)) |
(/ 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)) |
(/ 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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) y #s(literal 1 binary64))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(* 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 |
(+ 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 (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) |
| 2 216× | lower-fma.f32 |
| 2 214× | lower-fma.f64 |
| 1 786× | lower-*.f32 |
| 1 781× | lower-*.f64 |
| 1 326× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 90 |
| 0 | 30 | 80 |
| 1 | 115 | 80 |
| 2 | 672 | 80 |
| 3 | 6432 | 80 |
| 0 | 8805 | 80 |
| 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 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) x) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
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(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) |
(fma.f64 y (*.f64 y x) x) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) |
(fma.f64 x (*.f64 y y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) x) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal -1 binary64)) x) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) x) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 y x))) x) |
(+.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 y x))) x) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) |
(+.f64 (*.f64 (*.f64 y y) x) x) |
(+.f64 x (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) |
(+.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))) |
(+.f64 x (*.f64 (*.f64 y y) x)) |
Compiled 44 501 to 2 705 computations (93.9% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 712 | 3 | 1 715 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 715 | 6 | 1 721 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) |
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 46.4% | (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 46.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
| ✓ | 46.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 51.1% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 54 to 31 computations (42.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) | |
| cost-diff | 1088 | (/.f64 y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| cost-diff | 1088 | (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (* y y) 1) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
| 37× | lower-*.f32 |
| 35× | lower-*.f64 |
| 25× | lower-/.f32 |
| 20× | lower-/.f64 |
| 12× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 104 |
| 0 | 26 | 98 |
| 1 | 42 | 94 |
| 2 | 64 | 94 |
| 3 | 90 | 94 |
| 4 | 119 | 94 |
| 5 | 130 | 94 |
| 6 | 131 | 94 |
| 0 | 131 | 88 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) |
x |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) |
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) |
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) |
x |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y x) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) | |
| accuracy | 0.18359375 | (/.f64 y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 4.1448682967757575 | (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.447326778346074 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) | |
| accuracy | 0.22827541114846486 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) | |
| accuracy | 4.0120557967757575 | (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) | |
| accuracy | 30.447326778346074 | #s(approx (+ (* y y) 1) (*.f64 y y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 83 to 16 computations (80.7% saved)
ival-div: 8.0ms (46.9% of total)ival-mult: 5.0ms (29.3% of total)ival-add: 4.0ms (23.5% 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 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (patch (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y y) 1) (*.f64 y y)) (patch #s(approx (+ (* y y) 1) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) #<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 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ()) |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | y | @ | -inf | (* x (+ (* y y) 1)) |
| 0.0ms | x | @ | -inf | (/ (+ 1 (* y y)) (/ 1 x)) |
| 0.0ms | y | @ | 0 | (/ (+ 1 (* y y)) (/ 1 x)) |
| 0.0ms | x | @ | 0 | (/ 1 (/ 1 (* x (+ (* y y) 1)))) |
| 1× | egg-herbie |
| 10 982× | lower-fma.f64 |
| 10 982× | lower-fma.f32 |
| 1 589× | lower-*.f64 |
| 1 589× | lower-*.f32 |
| 1 029× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 1196 |
| 1 | 130 | 1194 |
| 2 | 327 | 1190 |
| 3 | 1125 | 1180 |
| 4 | 4596 | 1164 |
| 0 | 8399 | 1041 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 (* 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)))) |
(/ 1 (* 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)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (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)) |
(/ 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)) |
(/ 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 (+ 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 |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (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) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 (+ 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))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (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) (+ 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) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 (+ 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))) |
(* -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))) |
| Outputs |
|---|
(* 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 |
(+ 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 (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 (* 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)) |
(/ 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)) |
(/ 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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(* 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 |
(+ 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 (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 |
#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) (+ 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) (+ 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 |
(+ 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 (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) |
(* 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) |
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) (+ 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) (+ 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) |
(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) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #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 y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ 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 (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) |
(* 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) |
(* -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) |
| 2 380× | lower-fma.f32 |
| 2 379× | lower-fma.f64 |
| 1 715× | lower-*.f32 |
| 1 713× | lower-*.f64 |
| 1 303× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 89 |
| 0 | 26 | 83 |
| 1 | 109 | 79 |
| 2 | 622 | 79 |
| 3 | 6299 | 79 |
| 0 | 8176 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) |
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64)) |
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) |
(pow.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(/.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(neg.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(pow.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (neg.f64 x)) |
(/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* y y) 1) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) |
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64)) |
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) |
(pow.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(/.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(neg.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) |
(*.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) #s(literal 1 binary64)) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(/.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) #s(literal 1 binary64)) |
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(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (neg.f64 y) y) x x))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 (*.f64 x (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)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) x x) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) x) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (/.f64 (*.f64 y x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 y) x) |
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 x) x) |
(fma.f64 (*.f64 (*.f64 y (*.f64 x x)) y) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) x) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) y) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 x x)) y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(fma.f64 y (*.f64 y x) x) |
(fma.f64 x (*.f64 y y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (*.f64 y y) x) x) |
(+.f64 x (*.f64 (*.f64 y y) x)) |
Compiled 9 127 to 909 computations (90% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 5 | 632 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 628 | 10 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) |
| ▶ | 99.9% | (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) |
| ▶ | 99.8% | (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) |
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 70.2% | (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 87.7% | (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
| ✓ | 46.4% | (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 46.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
| ✓ | 46.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 51.1% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 196 to 101 computations (48.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) | |
| cost-diff | 14016 | (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 512 | (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| cost-diff | 704 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 2944 | (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| cost-diff | 512 | (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) | |
| cost-diff | 1920 | (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) | |
| cost-diff | 704 | (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| 1 703× | lower-fma.f32 |
| 1 700× | lower-fma.f64 |
| 1 662× | lower-*.f32 |
| 1 659× | lower-*.f64 |
| 662× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 175 |
| 0 | 48 | 145 |
| 1 | 92 | 119 |
| 2 | 202 | 117 |
| 3 | 525 | 115 |
| 4 | 2077 | 113 |
| 5 | 4057 | 113 |
| 6 | 7080 | 113 |
| 0 | 8043 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y x) |
y |
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) |
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
y |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) |
(fma.f64 (*.f64 y x) y x) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y x) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) |
(fma.f64 (*.f64 y x) y x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 y x) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y x) |
y |
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (-.f64 y (/.f64 #s(literal -1 binary64) y)) x) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) |
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) |
(fma.f64 (*.f64 y x) y x) |
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 y x) |
(/.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
y |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) | |
| accuracy | 0.21484375 | (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) | |
| accuracy | 0.26400375976844204 | (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) | |
| accuracy | 0.1015625 | (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.209316259768442 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| accuracy | 18.849585726819104 | (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.209316259768442 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| accuracy | 7.324825134926431 | (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) | |
| accuracy | 7.397448653593221 | (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) | |
| accuracy | 0.2741012695368841 | (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.5026409132449914 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) | |
| accuracy | 0.171875 | (/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| 81.0ms | 256× | 0 | valid |
Compiled 184 to 31 computations (83.2% saved)
ival-add: 21.0ms (34.2% of total)ival-div: 16.0ms (26.1% of total)ival-pow: 12.0ms (19.6% of total)ival-mult: 11.0ms (17.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) y)) (taylor -inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) y)) (taylor -inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) y)) (taylor -inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) y)) (taylor -inf x) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (/ 1 (* y x)) (/ 1 x)) |
| 2.0ms | x | @ | -inf | (pow x -1/2) |
| 2.0ms | y | @ | inf | (* (/ 1 y) (/ -1 x)) |
| 1.0ms | x | @ | -inf | (/ (/ y (pow x -1/2)) (pow x -1/2)) |
| 1.0ms | x | @ | -inf | (/ (+ (* y (/ 1 x)) (/ 1 (* y x))) (* (/ 1 (* y x)) (/ 1 x))) |
| 1× | egg-herbie |
| 2 275× | lower-fma.f64 |
| 2 275× | lower-fma.f32 |
| 1 686× | lower-*.f64 |
| 1 686× | lower-*.f32 |
| 1 031× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 2114 |
| 1 | 157 | 2102 |
| 2 | 366 | 2098 |
| 3 | 1064 | 2098 |
| 4 | 3472 | 2014 |
| 5 | 7451 | 2014 |
| 0 | 8328 | 1909 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* x y) |
(* x y) |
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(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* -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 |
(+ x (* x (pow y 2))) |
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(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
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(* (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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
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(/ 1 y) |
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(* x y) |
(* x y) |
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(/ -1 (* x y)) |
(/ -1 (* x y)) |
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(/ -1 (* x y)) |
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(/ -1 (* x y)) |
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(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
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(/ -1 (* x y)) |
(/ -1 (* x y)) |
x |
(+ x (* x (pow y 2))) |
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(+ 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)))) |
(* 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 (+ 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))) |
(* -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 (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
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(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
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(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
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(* (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)))) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(+ y (/ 1 y)) |
(/ 1 y) |
(/ (+ 1 (pow y 2)) y) |
(/ (+ 1 (pow y 2)) y) |
(/ (+ 1 (pow y 2)) y) |
y |
(* y (+ 1 (/ 1 (pow y 2)))) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(* y (+ 1 (/ 1 (pow y 2)))) |
y |
(* y (+ 1 (/ 1 (pow y 2)))) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* x (* y (+ y (/ 1 y)))) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* (pow x 2) y)) |
(/ 1 (* x y)) |
(/ (+ (/ 1 x) (/ (pow y 2) x)) y) |
(/ (+ (/ 1 x) (/ (pow y 2) x)) y) |
(/ (+ (/ 1 x) (/ (pow y 2) x)) y) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(/ (+ y (/ 1 y)) x) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (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)))) |
(* 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 (+ 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))) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) y)) |
(* -1 (* (sqrt x) y)) |
(* -1 (* (sqrt x) y)) |
(* -1 (* (sqrt x) y)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(+ y (/ 1 y)) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (pow y 2)) y) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(/ (+ 1 (pow y 2)) y) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(/ (+ 1 (pow y 2)) y) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
y |
(* y (+ 1 (/ 1 (pow y 2)))) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
y |
(* y (+ 1 (/ 1 (pow y 2)))) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(* y (+ 1 (/ 1 (pow y 2)))) |
(-.f64 y (/.f64 #s(literal -1 binary64) y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (* y (+ y (/ 1 y)))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (* y (- (* -1 y) (/ 1 y))))) |
(fma.f64 (*.f64 y y) x x) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* (pow x 2) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ (+ (/ 1 x) (/ (pow y 2) x)) y) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ (/ 1 x) (/ (pow y 2) x)) y) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ (/ 1 x) (/ (pow y 2) x)) y) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ (+ y (/ 1 y)) x) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(* -1 (/ (- (* -1 y) (/ 1 y)) x)) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #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 y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(*.f64 y x) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(*.f64 y x) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(*.f64 y x) |
(* -1 (/ (* x y) (pow (sqrt -1) 2))) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* x (+ 1 (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1))) |
(fma.f64 (*.f64 y y) x x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(* -1 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
| 2 407× | lower-/.f32 |
| 2 397× | lower-/.f64 |
| 2 211× | lower-fma.f32 |
| 2 208× | lower-fma.f64 |
| 1 615× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 148 |
| 0 | 48 | 110 |
| 1 | 224 | 92 |
| 2 | 1857 | 91 |
| 0 | 8484 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) |
(/.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 y x) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) y (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x)))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (fma.f64 (*.f64 y y) y (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) y (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (/.f64 x (*.f64 y x)) y)) (-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x))))) (fma.f64 (*.f64 y y) y (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y x)) y) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x) (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 (*.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (*.f64 y x) x)) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (*.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y x)) y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))) (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (*.f64 y x) x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x)) (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (*.f64 y x) x)) (/.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))) (fma.f64 (*.f64 y y) x x))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y x)) y) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (fma.f64 (*.f64 y y) x x))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) x) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) y) (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)) x) |
(fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) y) x) |
(fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(fma.f64 y (*.f64 y x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 x (*.f64 y y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (-.f64 x (*.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (/.f64 x (*.f64 y x)) y))) (/.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (/.f64 x (*.f64 y x)) y)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (/.f64 x (*.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x (*.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x))) (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y x)) y) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (fma.f64 (*.f64 y y) x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (fma.f64 (*.f64 y y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) x (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) x) |
(+.f64 x (*.f64 (*.f64 y y) x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(/.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 y (pow.f64 x #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
Compiled 58 772 to 3 167 computations (94.6% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 815 | 4 | 2 819 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 819 | 10 | 2 829 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) |
| 99.8% | (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y x) | |
| 99.7% | (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) x) | |
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 99.9% | (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x))) x) | |
| 87.7% | (/.f64 (fma.f64 y x (*.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 46.4% | (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 46.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
| ✓ | 46.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 51.1% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 304 to 116 computations (61.8% 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 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) |
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x))) x) |
(fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y x) |
(/.f64 (fma.f64 y x (*.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) |
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) y) (*.f64 x y) (neg.f64 (*.f64 x x))) (fma.f64 x (*.f64 y y) (neg.f64 x))) |
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
5 calls:
| 9.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (*.f64 y y) |
| 5.0ms | (+.f64 #s(literal 1 binary64) (*.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 27 to 18 computations (33.3% 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:
| 49.0ms | x |
| 1.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 2 | x |
| 92.9% | 2 | y |
| 78.4% | 2 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 92.9% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 92.9% | 2 | (*.f64 y y) |
Compiled 27 to 18 computations (33.3% 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 | y |
| 1.0ms | x |
| 1.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 1 | x |
| 51.1% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 51.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 51.1% | 1 | (*.f64 y y) |
| 51.1% | 1 | y |
Compiled 27 to 18 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.014137400098435787 | 3893.718122378602 |
| 6.0ms | 144× | 0 | valid |
Compiled 156 to 101 computations (35.3% saved)
ival-mult: 2.0ms (72% of total)ival-add: 1.0ms (36% 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 |
| 3× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 1 | 20 | 39 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(if (<=.f64 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 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 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) |
| 4 532× | lower-fma.f64 |
| 4 532× | lower-fma.f32 |
| 3 287× | lower-*.f64 |
| 3 287× | lower-*.f32 |
| 2 588× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 246 |
| 1 | 42 | 246 |
| 2 | 74 | 246 |
| 3 | 212 | 246 |
| 4 | 695 | 246 |
| 5 | 1887 | 246 |
| 6 | 2663 | 246 |
| 7 | 3730 | 246 |
| 8 | 5074 | 246 |
| 9 | 5970 | 246 |
| 10 | 6935 | 246 |
| 11 | 7278 | 246 |
| 12 | 7397 | 246 |
| 13 | 7474 | 246 |
| 14 | 7543 | 246 |
| 15 | 7690 | 246 |
| 0 | 8226 | 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 58 to 30 computations (48.3% saved)
(negabs x)
(abs y)
Compiled 184 to 90 computations (51.1% saved)
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