
Time bar (total: 5.9s)
| 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 13 to 10 computations (23.1% saved)
| 505.0ms | 7 656× | 0 | valid |
| 90.0ms | 373× | 1 | valid |
| 29.0ms | 169× | 2 | valid |
| 18.0ms | 58× | 3 | valid |
ival-add: 392.0ms (92% of total)adjust: 25.0ms (5.9% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 x y) y) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x y) y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 23.0ms | 460× | 0 | valid |
| 4.0ms | 30× | 1 | valid |
| 3.0ms | 18× | 2 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 91 to 28 computations (69.2% saved)
ival-add: 13.0ms (83.7% of total)adjust: 2.0ms (12.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 046× | unsub-neg |
| 1 306× | distribute-neg-in |
| 1 088× | associate-+r+ |
| 876× | sub-neg |
| 792× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 104 |
| 1 | 139 | 83 |
| 2 | 547 | 81 |
| 3 | 2356 | 81 |
| 4 | 4279 | 81 |
| 5 | 5574 | 81 |
| 6 | 5954 | 81 |
| 7 | 6069 | 81 |
| 8 | 6080 | 81 |
| 9 | 6080 | 81 |
| 10 | 6693 | 81 |
| 11 | 6916 | 81 |
| 12 | 6934 | 81 |
| 13 | 6934 | 81 |
| 14 | 6944 | 81 |
| 15 | 6954 | 81 |
| 16 | 6954 | 81 |
| 17 | 6958 | 81 |
| 18 | 7718 | 81 |
| 19 | 7718 | 81 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 9 |
| 2 | 71 | 9 |
| 3 | 163 | 9 |
| 4 | 266 | 9 |
| 5 | 273 | 9 |
| 0 | 273 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (+.f64 x y) y) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) | |
| cost-diff | 64 | (+.f64 (+.f64 (+.f64 x y) y) x) | |
| cost-diff | 128 | (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) |
| 266× | lower-+.f32 |
| 256× | lower-+.f64 |
| 242× | associate-+r+ |
| 132× | associate-+l+ |
| 104× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 38 |
| 0 | 13 | 38 |
| 1 | 26 | 32 |
| 2 | 71 | 32 |
| 3 | 163 | 32 |
| 4 | 266 | 32 |
| 5 | 273 | 32 |
| 0 | 273 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) |
(+.f64 (+.f64 (+.f64 x y) y) x) |
(+.f64 (+.f64 x y) y) |
(+.f64 x y) |
x |
y |
z |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)) |
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) |
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z) |
(+.f64 (+.f64 (+.f64 x y) y) x) |
(*.f64 #s(literal 2 binary64) (+.f64 y x)) |
(+.f64 (+.f64 x y) y) |
(fma.f64 #s(literal 2 binary64) y x) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.015625 | (+.f64 (+.f64 x y) y) | |
| accuracy | 0.01953125 | (+.f64 (+.f64 (+.f64 x y) y) x) | |
| accuracy | 0.07421875 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 16.0ms | 230× | 0 | valid |
| 4.0ms | 9× | 2 | valid |
| 2.0ms | 15× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 40 to 10 computations (75% saved)
ival-add: 13.0ms (92.3% of total)adjust: 1.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ()) |
#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ()) |
#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ()) |
#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* 2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ()) |
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#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y)) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y)) |
| 1.0ms | z | @ | 0 | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y)) |
| 0.0ms | x | @ | -inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y)) |
| 1× | egg-herbie |
| 10 710× | lower-fma.f64 |
| 10 710× | lower-fma.f32 |
| 2 766× | lower-*.f64 |
| 2 766× | lower-*.f32 |
| 1 564× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 764 |
| 1 | 343 | 762 |
| 2 | 900 | 762 |
| 3 | 2786 | 762 |
| 4 | 6677 | 762 |
| 0 | 8202 | 658 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 x) (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(+ z (* 2 x)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(* 2 x) |
(+ (* 2 x) (* 2 y)) |
(+ (* 2 x) (* 2 y)) |
(+ (* 2 x) (* 2 y)) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
x |
(+ x (* 2 y)) |
(+ x (* 2 y)) |
(+ x (* 2 y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* 2 y) |
(* y (+ 2 (* 2 (/ x y)))) |
(* y (+ 2 (* 2 (/ x y)))) |
(* y (+ 2 (* 2 (/ x y)))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (/ x y))) |
(* y (+ 2 (/ x y))) |
(* y (+ 2 (/ x y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -2 (/ x y)) 2))) |
(* -1 (* y (- (* -2 (/ x y)) 2))) |
(* -1 (* y (- (* -2 (/ x y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(* 2 y) |
(+ (* 2 x) (* 2 y)) |
(+ (* 2 x) (* 2 y)) |
(+ (* 2 x) (* 2 y)) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(* 2 y) |
(+ x (* 2 y)) |
(+ x (* 2 y)) |
(+ x (* 2 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ y x)))) |
(* x (+ 2 (* 2 (/ y x)))) |
(* x (+ 2 (* 2 (/ y x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
x |
(* x (+ 1 (* 2 (/ y x)))) |
(* x (+ 1 (* 2 (/ y x)))) |
(* x (+ 1 (* 2 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* 2 x) |
(* -1 (* x (- (* -2 (/ y x)) 2))) |
(* -1 (* x (- (* -2 (/ y x)) 2))) |
(* -1 (* x (- (* -2 (/ y x)) 2))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
x |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ z (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
x |
(+ x (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) x) |
(+ x (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) x) |
(+ x (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ x y)))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ x y)))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ x y)))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (/ x y))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* y (+ 2 (/ x y))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* y (+ 2 (/ x y))) |
(fma.f64 y #s(literal 2 binary64) x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -2 (/ x y)) 2))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (- (* -2 (/ x y)) 2))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (- (* -2 (/ x y)) 2))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* -1 (* y (- (* -1 (/ x y)) 2))) |
(fma.f64 y #s(literal 2 binary64) x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ x (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) x) |
(+ x (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) x) |
(+ x (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) x) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ y x)))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ y x)))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ y x)))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
x |
(* x (+ 1 (* 2 (/ y x)))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ y x)))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ y x)))) |
(fma.f64 y #s(literal 2 binary64) x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 (* x (- (* -2 (/ y x)) 2))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* -1 (* x (- (* -2 (/ y x)) 2))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* -1 (* x (- (* -2 (/ y x)) 2))) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z)) |
x |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(fma.f64 y #s(literal 2 binary64) x) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(fma.f64 y #s(literal 2 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 5 184× | lower-fma.f64 |
| 5 184× | lower-fma.f32 |
| 4 742× | lower-*.f64 |
| 4 742× | lower-*.f32 |
| 4 214× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 35 |
| 0 | 13 | 35 |
| 1 | 81 | 29 |
| 2 | 878 | 29 |
| 0 | 8130 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) |
(+.f64 (+.f64 (+.f64 x y) y) x) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 (+.f64 x y) y) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) z)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 z (+.f64 y x)) (+.f64 z (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) (+.f64 y x))))) |
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(*.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (+.f64 y x) y)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (*.f64 (-.f64 (+.f64 y x) y) (*.f64 y y))) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 y (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (+.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (+.f64 y x) y))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 y x) y)) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y)))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y))) |
(fma.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)) y) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) y) |
(fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y y)) x) |
(fma.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) x) |
(fma.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) y) |
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)))) y) |
(fma.f64 #s(literal 2 binary64) y x) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)))) |
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) y) |
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal -1 binary64)) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y (+.f64 y x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y))) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)))) |
(+.f64 (*.f64 #s(literal 2 binary64) y) x) |
(+.f64 (+.f64 y x) y) |
(+.f64 y (+.f64 y x)) |
(+.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x))))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 y y (neg.f64 (*.f64 x x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (fma.f64 y y (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (hypot.f64 x y) (*.f64 y x))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 22 756 to 2 494 computations (89% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 716 | 8 | 724 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 717 | 8 | 725 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| 67.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) | |
| ▶ | 39.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
| 62.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) | |
| ▶ | 71.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
| ▶ | 67.3% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| 34.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) | |
| ▶ | 38.7% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
Compiled 92 to 106 computations (-15.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| 270× | lower-+.f32 |
| 264× | lower-+.f64 |
| 242× | associate-+r+ |
| 120× | associate-+l+ |
| 104× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 126 |
| 0 | 31 | 126 |
| 1 | 58 | 113 |
| 2 | 110 | 113 |
| 3 | 216 | 113 |
| 4 | 278 | 113 |
| 5 | 282 | 113 |
| 0 | 282 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
#s(literal 2 binary64) |
(+.f64 y x) |
y |
x |
(+.f64 z x) |
z |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
(fma.f64 #s(literal 3 binary64) x z) |
#s(literal 3 binary64) |
x |
z |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
x |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
#s(literal 3 binary64) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(+.f64 z x) |
z |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
(fma.f64 #s(literal 3 binary64) x z) |
#s(literal 3 binary64) |
x |
z |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
x |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
#s(literal 3 binary64) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 18.566540842431728 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.07421875 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) | |
| accuracy | 42.25998013371999 | #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x z) | |
| accuracy | 20.93018458649482 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 39.22713268265603 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| 38.0ms | 216× | 0 | valid |
| 6.0ms | 13× | 3 | valid |
| 5.0ms | 14× | 2 | valid |
| 3.0ms | 13× | 1 | valid |
Compiled 107 to 20 computations (81.3% saved)
ival-add: 13.0ms (45.1% of total)ival-mult: 11.0ms (38.1% of total)adjust: 4.0ms (13.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) #<representation:binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation:binary64>) () ()) |
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#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (- (* -1 (/ z x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ (* 2 (+ y x)) (+ z x)) (+ y x) (+ z x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2))) |
| 1.0ms | x | @ | -inf | ((+ (* 2 (+ y x)) (+ z x)) (+ y x) (+ z x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2))) |
| 1.0ms | y | @ | -inf | ((+ (* 2 (+ y x)) (+ z x)) (+ y x) (+ z x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2))) |
| 1.0ms | x | @ | inf | ((+ (* 2 (+ y x)) (+ z x)) (+ y x) (+ z x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2))) |
| 1.0ms | z | @ | 0 | ((+ (* 2 (+ y x)) (+ z x)) (+ y x) (+ z x) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2))) |
| 1× | egg-herbie |
| 10 922× | lower-fma.f64 |
| 10 922× | lower-fma.f32 |
| 3 364× | lower-*.f64 |
| 3 364× | lower-*.f32 |
| 1 724× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 2026 |
| 1 | 433 | 2026 |
| 2 | 1094 | 2026 |
| 3 | 3396 | 2026 |
| 4 | 7244 | 2026 |
| 0 | 8071 | 1676 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* 2 (+ x y))) |
(+ x (+ z (* 2 (+ x y)))) |
(+ x (+ z (* 2 (+ x y)))) |
(+ x (+ z (* 2 (+ x y)))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(* 3 x) |
(+ z (* 3 x)) |
(+ z (* 3 x)) |
(+ z (* 3 x)) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ (* 2 x) (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
z |
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) |
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) |
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (* 3 (/ x z)))) |
(* z (+ 1 (* 3 (/ x z)))) |
(* z (+ 1 (* 3 (/ x z)))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -3 (/ x z)) 1))) |
(* -1 (* z (- (* -3 (/ x z)) 1))) |
(* -1 (* z (- (* -3 (/ x z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ z (* 2 x)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(* 3 x) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (* 3 (/ x y)))) |
(* y (+ 2 (* 3 (/ x y)))) |
(* y (+ 2 (* 3 (/ x y)))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
z |
(+ z (* 3 x)) |
(+ z (* 3 x)) |
(+ z (* 3 x)) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(* 2 y) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (/ z x))) |
(* x (+ 3 (/ z x))) |
(* x (+ 3 (/ z x))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (* 2 (/ y x)))) |
(* x (+ 3 (* 2 (/ y x)))) |
(* x (+ 3 (* 2 (/ y x)))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ z x)) 3))) |
(* -1 (* x (- (* -1 (/ z x)) 3))) |
(* -1 (* x (- (* -1 (/ z x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
| Outputs |
|---|
(+ x (* 2 (+ x y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (* 2 (+ x y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (* 2 (+ x y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (* 2 (+ x y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(+ z (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ z (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ z (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (* 3 (/ x z)))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* z (+ 1 (* 3 (/ x z)))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* z (+ 1 (* 3 (/ x z)))) |
(fma.f64 #s(literal 3 binary64) x z) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -3 (/ x z)) 1))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* -1 (* z (- (* -3 (/ x z)) 1))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* -1 (* z (- (* -3 (/ x z)) 1))) |
(fma.f64 #s(literal 3 binary64) x z) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* 3 (/ x y)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* y (+ 2 (* 3 (/ x y)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* y (+ 2 (* 3 (/ x y)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(+ z (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ z (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ z (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ z x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* x (+ 3 (/ z x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* x (+ 3 (/ z x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* 2 (/ y x)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* x (+ 3 (* 2 (/ y x)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* x (+ 3 (* 2 (/ y x)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ z x)) 3))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* -1 (* x (- (* -1 (/ z x)) 3))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* -1 (* x (- (* -1 (/ z x)) 3))) |
(fma.f64 #s(literal 3 binary64) x z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
| 5 276× | lower-fma.f32 |
| 5 270× | lower-fma.f64 |
| 3 638× | lower-/.f64 |
| 3 638× | lower-/.f32 |
| 3 296× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 107 |
| 0 | 31 | 107 |
| 1 | 171 | 94 |
| 2 | 1886 | 94 |
| 0 | 8107 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
(+.f64 y x) |
(+.f64 z x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
(fma.f64 #s(literal 3 binary64) x z) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x)) (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x))) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x) (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x)) (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x))) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (fma.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) z)))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)) |
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)))) |
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x))) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (-.f64 y y))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y)) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y y)) (/.f64 (*.f64 y y) (-.f64 y y))) |
(+.f64 y y) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (pow.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))) |
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) |
Compiled 8 366 to 847 computations (89.9% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 2 | 565 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 565 | 8 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| ▶ | 67.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
| ▶ | 39.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
| ▶ | 62.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
| ▶ | 71.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| ✓ | 67.3% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| ▶ | 34.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
| ✓ | 38.7% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
Compiled 75 to 83 computations (-10.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y #s(literal 2 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) | |
| cost-diff | -128 | (+.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) | |
| cost-diff | 0 | (fma.f64 y #s(literal 2 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | -128 | (+.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) | |
| cost-diff | 128 | (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) |
| 274× | lower-+.f32 |
| 268× | lower-+.f64 |
| 208× | associate-+r+ |
| 116× | associate-+l+ |
| 104× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 144 |
| 0 | 28 | 144 |
| 1 | 51 | 130 |
| 2 | 100 | 130 |
| 3 | 200 | 127 |
| 4 | 262 | 127 |
| 5 | 266 | 127 |
| 0 | 266 | 120 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
(fma.f64 #s(literal 3 binary64) x (+.f64 y y)) |
#s(literal 3 binary64) |
x |
(+.f64 y y) |
y |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
(fma.f64 y #s(literal 2 binary64) z) |
y |
#s(literal 2 binary64) |
z |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) |
(+.f64 y y) |
y |
x |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) |
(fma.f64 y #s(literal 2 binary64) z) |
y |
#s(literal 2 binary64) |
z |
x |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) |
(fma.f64 #s(literal 3 binary64) x (+.f64 y y)) |
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x) |
#s(literal 3 binary64) |
x |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) |
(fma.f64 y #s(literal 2 binary64) z) |
(fma.f64 #s(literal 2 binary64) y z) |
y |
#s(literal 2 binary64) |
z |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
y |
x |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) |
(fma.f64 y #s(literal 2 binary64) z) |
(fma.f64 #s(literal 2 binary64) y z) |
y |
#s(literal 2 binary64) |
z |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y #s(literal 2 binary64) z) | |
| accuracy | 0.07421875 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) | |
| accuracy | 24.153434734986003 | #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) | |
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 0.07421875 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) | |
| accuracy | 42.25998013371999 | #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) | |
| accuracy | 0 | (fma.f64 y #s(literal 2 binary64) z) | |
| accuracy | 24.16876062553051 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 42.268146093012646 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) | |
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 18.566540842431728 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| 21.0ms | 222× | 0 | valid |
| 8.0ms | 12× | 2 | valid |
| 3.0ms | 9× | 3 | valid |
| 2.0ms | 13× | 1 | valid |
Compiled 115 to 17 computations (85.2% saved)
ival-add: 10.0ms (47.7% of total)ival-mult: 7.0ms (33.4% of total)adjust: 3.0ms (14.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ()) |
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
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#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ (* 3 x) (+ y y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z)) |
| 1.0ms | y | @ | -inf | ((+ (* 3 x) (+ y y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z)) |
| 0.0ms | x | @ | inf | ((+ (* 3 x) (+ y y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z)) |
| 0.0ms | y | @ | 0 | ((+ (* 3 x) (+ y y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z)) |
| 0.0ms | x | @ | -inf | ((+ (* 3 x) (+ y y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z)) |
| 1× | egg-herbie |
| 11 036× | lower-fma.f64 |
| 11 036× | lower-fma.f32 |
| 3 084× | lower-*.f64 |
| 3 084× | lower-*.f32 |
| 1 228× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 2134 |
| 1 | 311 | 2124 |
| 2 | 839 | 2124 |
| 3 | 2273 | 2124 |
| 4 | 5149 | 2124 |
| 0 | 8110 | 1745 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(* 2 y) |
(+ z (* 2 y)) |
(+ z (* 2 y)) |
(+ z (* 2 y)) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ (* 2 x) (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ (* 2 x) (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (* 2 (/ y z)))) |
(* z (+ 1 (* 2 (/ y z)))) |
(* z (+ 1 (* 2 (/ y z)))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -2 (/ y z)) 1))) |
(* -1 (* z (- (* -2 (/ y z)) 1))) |
(* -1 (* z (- (* -2 (/ y z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(* 3 x) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
z |
(+ z (* 2 y)) |
(+ z (* 2 y)) |
(+ z (* 2 y)) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ z (* 2 x)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ z (* 2 x)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(* 2 y) |
(* y (+ 2 (* 3 (/ x y)))) |
(* y (+ 2 (* 3 (/ x y)))) |
(* y (+ 2 (* 3 (/ x y)))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (/ z y))) |
(* y (+ 2 (/ z y))) |
(* y (+ 2 (/ z y))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(* 2 y) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ z y)) 2))) |
(* -1 (* y (- (* -1 (/ z y)) 2))) |
(* -1 (* y (- (* -1 (/ z y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(* 2 y) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(+ (* 2 y) (* 3 x)) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(* 3 x) |
(* x (+ 3 (* 2 (/ y x)))) |
(* x (+ 3 (* 2 (/ y x)))) |
(* x (+ 3 (* 2 (/ y x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 2 x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
| Outputs |
|---|
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ (* 2 x) (* 2 y)) |
(*.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (* 2 (/ y z)))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* z (+ 1 (* 2 (/ y z)))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* z (+ 1 (* 2 (/ y z)))) |
(fma.f64 y #s(literal 2 binary64) z) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -2 (/ y z)) 1))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* -1 (* z (- (* -2 (/ y z)) 1))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* -1 (* z (- (* -2 (/ y z)) 1))) |
(fma.f64 y #s(literal 2 binary64) z) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* 3 (/ x y)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* y (+ 2 (* 3 (/ x y)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* y (+ 2 (* 3 (/ x y)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (/ z y))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* y (+ 2 (/ z y))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* y (+ 2 (/ z y))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* y (- (* -3 (/ x y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ z y)) 2))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ z y)) 2))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ z y)) 2))) |
(fma.f64 y #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 y) (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(+ z (+ (* 2 x) (* 2 y))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* 2 (/ y x)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* x (+ 3 (* 2 (/ y x)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* x (+ 3 (* 2 (/ y x)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) |
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z) |
| 9 208× | lower-fma.f32 |
| 9 204× | lower-fma.f64 |
| 5 712× | lower-*.f32 |
| 5 710× | lower-*.f64 |
| 4 614× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 123 |
| 0 | 28 | 123 |
| 1 | 158 | 109 |
| 2 | 1543 | 109 |
| 0 | 9628 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 3 binary64) x (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
(+.f64 y y) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 3 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x #s(literal 3 binary64) y) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 3 binary64) y) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))) (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 x #s(literal 3 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 3 binary64) y) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y)))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 y y) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 y (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 3 binary64) y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x #s(literal 3 binary64) y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)))) |
(+.f64 (fma.f64 x #s(literal 3 binary64) y) y) |
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))) |
(+.f64 y (fma.f64 x #s(literal 3 binary64) y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) |
(*.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) |
(*.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 y #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64)) |
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(pow.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 x x))) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) |
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))) |
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))) (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) |
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) |
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) |
Compiled 10 598 to 1 407 computations (86.7% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 1 | 901 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 901 | 8 | 909 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| ✓ | 67.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
| ✓ | 39.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
| ✓ | 62.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
| ✓ | 71.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| ✓ | 67.3% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| ▶ | 34.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| ✓ | 38.7% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
Compiled 46 to 50 computations (-8.7% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -128 | (+.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| 266× | lower-+.f32 |
| 264× | lower-+.f64 |
| 246× | associate-+r+ |
| 134× | associate-+l+ |
| 104× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 0 | 11 | 19 |
| 1 | 25 | 17 |
| 2 | 68 | 17 |
| 3 | 165 | 17 |
| 4 | 266 | 17 |
| 5 | 271 | 17 |
| 0 | 271 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
(+.f64 y y) |
y |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 42.268146093012646 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| 13.0ms | 230× | 0 | valid |
| 2.0ms | 15× | 1 | valid |
| 2.0ms | 9× | 2 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 17 to 11 computations (35.3% saved)
ival-add: 7.0ms (80.6% of total)adjust: 1.0ms (11.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* 2 y)) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y)) |
| 0.0ms | y | @ | inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y)) |
| 0.0ms | z | @ | inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y)) |
| 0.0ms | y | @ | 0 | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y)) |
| 0.0ms | x | @ | -inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y)) |
| 1× | egg-herbie |
| 8 372× | lower-fma.f64 |
| 8 372× | lower-fma.f32 |
| 2 418× | lower-*.f64 |
| 2 418× | lower-*.f32 |
| 1 882× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 312 |
| 1 | 158 | 310 |
| 2 | 435 | 310 |
| 3 | 1278 | 310 |
| 4 | 3157 | 310 |
| 5 | 7205 | 310 |
| 0 | 8017 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ (* 2 x) (* 2 y))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(+ x (+ z (* 2 x))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(+ z (* 2 y)) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(+ z (+ (* 2 y) (* 3 x))) |
(* 3 x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(* 3 x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
| Outputs |
|---|
(+ x (+ (* 2 x) (* 2 y))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
z |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (* 2 x))) |
(fma.f64 #s(literal 3 binary64) x z) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ x (+ z (+ (* 2 x) (* 2 y)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ z (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) z) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(+ z (+ (* 2 y) (* 3 x))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) |
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
| 4 764× | lower-*.f64 |
| 4 764× | lower-*.f32 |
| 4 734× | lower-fma.f64 |
| 4 734× | lower-fma.f32 |
| 4 246× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 0 | 11 | 18 |
| 1 | 86 | 16 |
| 2 | 936 | 16 |
| 0 | 8128 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
(+.f64 y y) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)) (hypot.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 0 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(-.f64 (/.f64 (hypot.f64 y y) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(+.f64 y y) |
Compiled 660 to 119 computations (82% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 0 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 79 | 8 | 87 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| ✓ | 67.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
| ✓ | 39.7% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
| ✓ | 62.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
| ✓ | 71.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| ✓ | 67.3% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| ✓ | 34.0% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| ✓ | 38.7% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
Compiled 120 to 83 computations (30.8% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| Outputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
4 calls:
| 69.0ms | y |
| 4.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 4.0ms | z |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 14 to 17 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
4 calls:
| 4.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | x |
| 89.6% | 3 | y |
| 91.0% | 4 | z |
| 76.3% | 4 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 14 to 17 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
3 calls:
| 38.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 4 | z |
| 89.2% | 3 | y |
| 88.8% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
3 calls:
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 3 | x |
| 87.7% | 3 | y |
| 73.2% | 4 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 3 | x |
| 83.6% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
4 calls:
| 40.0ms | z |
| 2.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 3 | x |
| 40.9% | 2 | z |
| 40.4% | 2 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 59.0% | 3 | y |
Compiled 14 to 17 computations (-21.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
4 calls:
| 1.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.0% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 34.0% | 1 | z |
| 34.0% | 1 | x |
| 34.0% | 1 | y |
Compiled 14 to 17 computations (-21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.911109610343199e+37 | 3.508150427991167e+59 |
| 12.0ms | -1.6545344500070192e+112 | -2.5130534697206306e+110 |
| 11.0ms | 251× | 0 | valid |
| 2.0ms | 14× | 2 | valid |
| 2.0ms | 20× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 252 to 295 computations (-17.1% saved)
ival-add: 7.0ms (77.9% of total)adjust: 2.0ms (22.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.2034738234909613e+67 | 6.617615649342416e+67 |
| 13.0ms | -1.4296514603316693e-58 | -3.545038894265134e-64 |
| 33.0ms | -5.19520815792421e+129 | -2.998610309513139e+129 |
| 11.0ms | 249× | 0 | valid |
| 3.0ms | 33× | 1 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 222 to 280 computations (-26.1% saved)
ival-add: 7.0ms (81.5% of total)adjust: 1.0ms (11.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.0852889334602719e+74 | 5.453459946123564e+79 |
| 17.0ms | -3.100560229305852e-10 | -3.0584003995874834e-15 |
| 15.0ms | 261× | 0 | valid |
| 2.0ms | 12× | 2 | valid |
| 1.0ms | 15× | 1 | valid |
Compiled 194 to 266 computations (-37.1% saved)
ival-add: 11.0ms (90.9% of total)adjust: 1.0ms (8.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.7073439307033404e+148 | 4.109476529870498e+154 |
| 5.0ms | -2.8789483107607183e+91 | -1.5657193050207664e+91 |
| 35.0ms | 198× | 0 | valid |
| 1.0ms | 10× | 1 | valid |
Compiled 131 to 183 computations (-39.7% saved)
ival-add: 5.0ms (99.1% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0852889334602719e+74 | 5.453459946123564e+79 |
| 12.0ms | -3.365461795878053e-16 | -1.1024301662990967e-24 |
| 6.0ms | 135× | 0 | valid |
| 1.0ms | 6× | 2 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 158 to 248 computations (-57% saved)
ival-add: 3.0ms (77.7% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | +-commutative-binary64-+.f64 |
| 2× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 322 |
| 1 | 62 | 322 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
(if (<=.f64 x #s(literal -255000000000000011016408331553048243091962986574392643698216421786816755022250010145896369504450914233207488512 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 9500000000000000194300513075712407919132672 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))) |
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 z #s(literal -335700942307893/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 55999999999999995441473019995012338799166939219716071653612206424064 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))) |
(if (<=.f64 y #s(literal -7891867750444299/77371252455336267181195264 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 1400000000000000053028683940195735220482647458372027486821395384623412251983872 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)))) |
(if (<=.f64 y #s(literal -21500000000000000353651438767731523457886381443027155937173213142523691279840223845672812544 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)))) |
(if (<=.f64 y #s(literal -6693195169205051/20282409603651670423947251286016 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 1350000000000000021750792418738636781269531789191767487600347948858649968902144 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| Outputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 z x)) |
(if (<=.f64 x #s(literal -255000000000000011016408331553048243091962986574392643698216421786816755022250010145896369504450914233207488512 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 9500000000000000194300513075712407919132672 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))) |
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 z #s(literal -335700942307893/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 55999999999999995441473019995012338799166939219716071653612206424064 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))) |
(if (<=.f64 y #s(literal -7891867750444299/77371252455336267181195264 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 1400000000000000053028683940195735220482647458372027486821395384623412251983872 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)))) |
(if (<=.f64 y #s(literal -21500000000000000353651438767731523457886381443027155937173213142523691279840223845672812544 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)))) |
(if (<=.f64 y #s(literal -6693195169205051/20282409603651670423947251286016 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 1350000000000000021750792418738636781269531789191767487600347948858649968902144 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)))) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| 10 710× | lower-fma.f64 |
| 10 710× | lower-fma.f32 |
| 9 208× | lower-fma.f32 |
| 9 204× | lower-fma.f64 |
| 5 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 123 |
| 0 | 28 | 123 |
| 1 | 158 | 109 |
| 2 | 1543 | 109 |
| 0 | 9628 | 102 |
| 0 | 22 | 107 |
| 0 | 31 | 107 |
| 1 | 171 | 94 |
| 2 | 1886 | 94 |
| 0 | 8107 | 92 |
| 0 | 113 | 764 |
| 1 | 343 | 762 |
| 2 | 900 | 762 |
| 3 | 2786 | 762 |
| 4 | 6677 | 762 |
| 0 | 8202 | 658 |
| 0 | 8 | 35 |
| 0 | 13 | 35 |
| 1 | 81 | 29 |
| 2 | 878 | 29 |
| 0 | 8130 | 26 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 236 to 169 computations (28.4% saved)
Compiled 296 to 122 computations (58.8% saved)
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