
Time bar (total: 5.7s)
| 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)
| 609.0ms | 7 684× | 0 | valid |
| 37.0ms | 361× | 1 | valid |
| 25.0ms | 153× | 2 | valid |
| 15.0ms | 58× | 3 | valid |
ival-add: 351.0ms (91.3% of total)adjust: 26.0ms (6.8% of total)ival-true: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% 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 |
| 31.0ms | 482× | 0 | valid |
| 3.0ms | 22× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 129 to 36 computations (72.1% saved)
ival-add: 13.0ms (90.2% of total)adjust: 1.0ms (6.9% 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 | 0.0078125 | (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) | |
| accuracy | 0.02734375 | (+.f64 (+.f64 x y) y) | |
| accuracy | 0.03125 | (+.f64 (+.f64 (+.f64 x y) y) x) | |
| accuracy | 0.03515625 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 38.0ms | 241× | 0 | valid |
| 1.0ms | 11× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 40 to 10 computations (75% saved)
ival-add: 6.0ms (84% of total)adjust: 1.0ms (14% 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>) () ()) |
| 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 (* 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>) () ())) ()) |
#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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (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 (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 2 y)) (taylor 0 x) (#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 x) (#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 x) (#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 x) (#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 0 x) (#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 x) (#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 x) (#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 x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 2 y)) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y)) |
| 0.0ms | y | @ | inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y)) |
| 0.0ms | x | @ | -inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y)) |
| 0.0ms | z | @ | -inf | ((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y)) |
| 1× | egg-herbie |
| 10 174× | lower-fma.f64 |
| 10 174× | lower-fma.f32 |
| 2 812× | lower-*.f64 |
| 2 812× | lower-*.f32 |
| 1 504× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 704 |
| 1 | 306 | 702 |
| 2 | 815 | 702 |
| 3 | 2381 | 702 |
| 4 | 5563 | 702 |
| 0 | 8365 | 598 |
| 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)) |
(* 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))) |
(* 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))) |
(+ 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)) |
(* 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)))) |
(* 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))) |
| 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 #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))))) |
(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 (/ (+ (* 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 (* 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 #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 (* 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) |
(* 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 #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 (/ 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) |
(* 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 #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 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) |
(+ 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 #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)) |
(+ 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) |
(* 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 #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 (* 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) |
(* 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 #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 (- (* -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) |
| 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 | 32 |
| 0 | 13 | 32 |
| 1 | 81 | 26 |
| 2 | 878 | 26 |
| 0 | 8130 | 23 |
| 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) |
| 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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 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))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (fma.f64 #s(literal 2 binary64) y x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 y x) z) (+.f64 (+.f64 y x) z)) (*.f64 (+.f64 y x) (+.f64 (+.f64 y x) z))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y (+.f64 z x)) (+.f64 y (+.f64 z x))) (*.f64 (+.f64 y x) (+.f64 y (+.f64 z x)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 y x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 (+.f64 y x) (+.f64 z x)) (+.f64 (+.f64 y x) (+.f64 z x))) (*.f64 y (+.f64 (+.f64 y x) (+.f64 z x)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y x) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y x) z) (+.f64 (fma.f64 #s(literal 2 binary64) y x) z)) (*.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) y x) z))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 z x)) (fma.f64 #s(literal 2 binary64) y (+.f64 z x))) (*.f64 x (fma.f64 #s(literal 2 binary64) y (+.f64 z x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (neg.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)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x)))) |
(/.f64 (neg.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)))) (neg.f64 (+.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 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)))) |
(/.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))))) |
(/.f64 (-.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 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) #s(literal 2 binary64))) |
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(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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) y) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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)) |
Compiled 22 097 to 2 304 computations (89.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 667 | 8 | 675 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 668 | 8 | 676 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| 76.9% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) | |
| ▶ | 42.3% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) |
| 72.9% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) | |
| ▶ | 64.6% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) |
| ▶ | 61.5% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| 38.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) | |
| ▶ | 27.9% | #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 | 22.668785079747305 | #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 | 0.03515625 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) | |
| accuracy | 39.51320784479936 | #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x z) | |
| accuracy | 24.614460099132256 | #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 | 46.13132766879717 | #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 | 0.04296875 | (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
| 33.0ms | 227× | 0 | valid |
| 4.0ms | 9× | 3 | valid |
| 3.0ms | 13× | 1 | valid |
| 2.0ms | 7× | 2 | valid |
Compiled 107 to 20 computations (81.3% saved)
ival-add: 15.0ms (54.8% of total)ival-mult: 9.0ms (32.9% of total)adjust: 3.0ms (11% 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>) () ()) |
#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 #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 (*.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 #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 |
|---|
#s(alt (+ x (* 2 (+ x y))) (taylor 0 z) (#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 (+ x (+ z (* 2 (+ x y)))) (taylor 0 z) (#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 (+ x (+ z (* 2 (+ x y)))) (taylor 0 z) (#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 (+ x (+ z (* 2 (+ x y)))) (taylor 0 z) (#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 x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ 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 z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x 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 #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 (+ 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 z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x 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 #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 (* 3 x) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x 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 #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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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) (* 2 y)) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ 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 #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 (+ 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 #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 (+ 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 #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 (+ 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 #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 z (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) (taylor inf z) (#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 z (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
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#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 (* x (+ 3 (+ (* 2 (/ y x)) (/ z 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 (* x (+ 3 (+ (* 2 (/ y x)) (/ z 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 (* x (+ 3 (+ (* 2 (/ y x)) (/ z 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 (* 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 (* x (+ 3 (* 2 (/ y 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 (* x (+ 3 (* 2 (/ y 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 (* x (+ 3 (* 2 (/ y 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 (* 3 x) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<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 z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x 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 #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 (* -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 z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x 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 #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 (* 3 x) (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 (* -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>) () ())) ()) |
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#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 | 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 | 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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) #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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) (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 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) (-.f64 (*.f64 z z) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z)))) |
(/.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)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 z x)) (fma.f64 x #s(literal 2 binary64) (+.f64 z x))) (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (+.f64 z x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 z x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 z x) x) (+.f64 (+.f64 z x) x)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 (+.f64 z x) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 x (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x (+.f64 z x)) (+.f64 x (+.f64 z x))) (*.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 x (+.f64 z x)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 x y) (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 x y) (+.f64 z x)) (+.f64 (+.f64 x y) (+.f64 z x))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) (+.f64 z x)))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) (fma.f64 (+.f64 x y) #s(literal 2 binary64) x)) (*.f64 z (fma.f64 (+.f64 x y) #s(literal 2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 z (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 z x) (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 (+.f64 z x) (-.f64 z x))))) (neg.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (-.f64 z x)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 z x) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (+.f64 z x) (-.f64 z x))))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 z x)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.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)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.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))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.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)))) (neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x)))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x 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))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 z x) (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 (+.f64 z x) (-.f64 z x)))) (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (-.f64 z x))) |
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(/.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)))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))))) |
(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 8 445 to 833 computations (90.1% 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)) |
| ▶ | 76.9% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
| ▶ | 42.3% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
| ▶ | 72.9% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
| ▶ | 64.6% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| ✓ | 61.5% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| ▶ | 38.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) |
| ✓ | 27.9% | #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 | -128 | (+.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x (+.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 | (+.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 | 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) |
| 274× | lower-+.f32 |
| 268× | lower-+.f64 |
| 212× | associate-+r+ |
| 110× | 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 | 194 | 127 |
| 4 | 259 | 127 |
| 5 | 263 | 127 |
| 0 | 263 | 120 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.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 |
#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 |
#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 |
| Outputs |
|---|
(+.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 |
#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 |
#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 (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 #s(literal 3 binary64) x (+.f64 y y)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) |
#s(literal 3 binary64) |
x |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
y |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) | |
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 22.668785079747305 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) | |
| accuracy | 0 | (+.f64 y y) | |
| accuracy | 0.03515625 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) | |
| accuracy | 39.51320784479936 | #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) | |
| accuracy | 0 | (fma.f64 y #s(literal 2 binary64) z) | |
| accuracy | 17.32352202343365 | #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 | 39.528181047142866 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 0 | (fma.f64 y #s(literal 2 binary64) z) | |
| accuracy | 0.03515625 | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) | |
| accuracy | 17.301660570758838 | #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) |
| 23.0ms | 236× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
| 2.0ms | 5× | 3 | valid |
| 1.0ms | 5× | 2 | valid |
Compiled 115 to 17 computations (85.2% saved)
ival-add: 10.0ms (67.7% of total)ival-mult: 3.0ms (20.3% of total)adjust: 2.0ms (13.5% 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 (+.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>) () ()) |
#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<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 (+.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 y y) (patch (+.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 (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (* 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 #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 (+ 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 #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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ y y))) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ y y))) |
| 0.0ms | x | @ | -inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ y y))) |
| 0.0ms | y | @ | 0 | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ y y))) |
| 0.0ms | x | @ | inf | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* y 2) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* y 2) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ y y))) |
| 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 | 2278 | 2124 |
| 4 | 5153 | 2124 |
| 0 | 8121 | 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)))) |
(+ (* 2 x) (* 2 y)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ 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)))) |
(+ 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 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)) (/ 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 (/ 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)) (/ 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))))) |
(* 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) (* 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 (- (* -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 (/ (+ 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 (/ (+ (* 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)))) |
(+ z (* 2 x)) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ z (+ (* 2 x) (* 2 y))) |
(+ 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)))) |
(* 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)))) |
(+ 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))))) |
(* 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 (/ 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) |
(* 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 (+ (* 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))) |
(* 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 (/ 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) |
(* 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 (/ (+ 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))) |
(+ 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 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))) |
(* 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)))) |
(* 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)) (/ 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)))) |
(* 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))) |
(* 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 (- (* -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))) |
(* 3 x) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* -1 (* x (- (* -2 (/ y x)) 3))) |
(* -1 (* x (- (* -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)) |
(+ (* 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) |
(* 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)) |
(+ 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 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 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 (/ 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)) (/ 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))))) |
(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) (* 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 (- (* -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 |
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(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z)) |
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(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)) |
(* 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 (- (* -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)) |
(* 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))) |
| 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 | 1542 | 109 |
| 0 | 9627 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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) |
#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)) |
(+.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) |
#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)) |
| Outputs |
|---|
(*.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)) (pow.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(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 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)))))) |
(/.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 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 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 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))))) |
(/.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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)))) |
(-.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)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) (+.f64 z y) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 y z) (+.f64 y z)) (*.f64 y (+.f64 y z))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 2 binary64) y)) (-.f64 z (*.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y))) |
(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)) z) |
(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)) z) |
(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)) z) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) z) |
(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)) z) |
(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)) z) |
(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)) z) |
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(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 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 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 #s(literal 3 binary64) x 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 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 3 binary64) x 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 #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 2 binary64) y)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (*.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))) |
(/.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 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 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 #s(literal 3 binary64) x 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 #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 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 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 3 binary64) x y) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) 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 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #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 #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 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #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 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.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 3 binary64) x)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 y y) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(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 #s(literal 3 binary64) x)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 y (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.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 2 binary64) y) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))) |
(+.f64 (fma.f64 #s(literal 3 binary64) x y) y) |
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) |
(+.f64 y (fma.f64 #s(literal 3 binary64) x y)) |
Compiled 10 612 to 1 403 computations (86.8% 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)) |
| ✓ | 76.9% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
| ✓ | 42.3% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
| ✓ | 72.9% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
| ✓ | 64.6% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| ✓ | 61.5% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| ▶ | 38.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| ✓ | 27.9% | #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 | 39.528181047142866 | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| 54.0ms | 243× | 0 | valid |
| 1.0ms | 10× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 17 to 11 computations (35.3% saved)
ival-add: 7.0ms (89.9% of total)adjust: 1.0ms (12.8% 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 | y | @ | 0 | ((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y)) |
| 0.0ms | z | @ | inf | ((+ (+ (+ (+ (+ 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)) (fma.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)) (*.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 (fma.f64 y y (*.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 674 to 120 computations (82.2% 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)) |
| ✓ | 76.9% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) |
| ✓ | 42.3% | (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) |
| ✓ | 72.9% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) |
| ✓ | 64.6% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) |
| ✓ | 61.5% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
| ✓ | 38.2% | #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) |
| ✓ | 27.9% | #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 | z |
| 5.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 4.0ms | y |
| 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 (+.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 z)) |
4 calls:
| 8.0ms | z |
| 4.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 3 | x |
| 90.5% | 3 | y |
| 90.8% | 3 | z |
| 76.9% | 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))) |
| 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 y #s(literal 2 binary64) z)) |
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) |
3 calls:
| 35.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | y |
| 89.6% | 3 | z |
| 90.1% | 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)) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | y |
| 88.6% | 3 | x |
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))) |
#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)) |
4 calls:
| 11.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 3 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 67.2% | 3 | x |
| 68.3% | 3 | z |
| 79.3% | 3 | y |
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))) |
| 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:
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 53.4% | 3 | x |
| 38.2% | 1 | z |
| 55.1% | 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)) |
3 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | z |
| 38.2% | 1 | x |
| 38.2% | 1 | y |
Compiled 3 to 9 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 8.604252895016195e+134 | 2.291908880328236e+139 |
| 18.0ms | -5.515421004724415e+43 | -1.534525775741534e+34 |
| 12.0ms | 250× | 0 | valid |
| 1.0ms | 12× | 1 | valid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 236 to 278 computations (-17.8% saved)
ival-add: 7.0ms (80.4% of total)adjust: 1.0ms (11.5% 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 |
|---|---|---|
| 15.0ms | 4.632501107479255e+127 | 6.89379174232674e+131 |
| 7.0ms | -5.515421004724415e+43 | -1.534525775741534e+34 |
| 13.0ms | 193× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 202 to 261 computations (-29.2% saved)
ival-add: 9.0ms (93.6% of total)adjust: 1.0ms (10.4% 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 |
|---|---|---|
| 11.0ms | 1.5501519455660288e-10 | 4.1160280210839566e-7 |
| 12.0ms | -2.2863727056747615e+33 | -1.264846809262647e+29 |
| 11.0ms | 243× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 174 to 238 computations (-36.8% saved)
ival-add: 6.0ms (89.6% 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 |
|---|---|---|
| 12.0ms | 5.355321193279666e+108 | 3.0296000290717632e+113 |
| 7.0ms | -3.5198994033638295e+201 | -9.817278560182921e+200 |
| 10.0ms | 197× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 131 to 183 computations (-39.7% saved)
ival-add: 5.0ms (91.6% 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 |
|---|---|---|
| 8.0ms | 4.1160280210839566e-7 | 5.485828710221911e-6 |
| 17.0ms | -58.17317924148049 | -1.0348182664758238e-9 |
| 11.0ms | 241× | 0 | valid |
| 1.0ms | 11× | 1 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 142 to 222 computations (-56.3% saved)
ival-add: 6.0ms (89.2% of total)adjust: 1.0ms (14.9% 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 | 55 | 302 |
| 1 | 59 | 302 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) |
(if (<=.f64 x #s(literal -42000000000000000337774883372463161369165824 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (if (<=.f64 x #s(literal 950000000000000036363984120918496954349500282047654859396109340604256682215167308848096493880023431309042736105381976671522410047995904 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 z)))) |
(if (<=.f64 x #s(literal -7000000000000000468942493657203951861235712 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (if (<=.f64 x #s(literal 48000000000000003608375371992874014118628595088915594247179636913172764411635929823897972852692385700556765841864921263680520192 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 3 binary64) x z)))) |
(if (<=.f64 y #s(literal -8000000000000000159076998709248 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 3771848557197643/9671406556917033397649408 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 -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 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 -1770887431076117/2361183241434822606848 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 7366891713276647/9444732965739290427392 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 -42000000000000000337774883372463161369165824 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (if (<=.f64 x #s(literal 950000000000000036363984120918496954349500282047654859396109340604256682215167308848096493880023431309042736105381976671522410047995904 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 z)))) |
(if (<=.f64 x #s(literal -7000000000000000468942493657203951861235712 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (if (<=.f64 x #s(literal 48000000000000003608375371992874014118628595088915594247179636913172764411635929823897972852692385700556765841864921263680520192 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 3 binary64) x z)))) |
(if (<=.f64 y #s(literal -8000000000000000159076998709248 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 3771848557197643/9671406556917033397649408 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 -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 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 -1770887431076117/2361183241434822606848 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 7366891713276647/9444732965739290427392 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)) |
| 10 174× | lower-fma.f64 |
| 10 174× | 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 | 101 | 704 |
| 1 | 306 | 702 |
| 2 | 815 | 702 |
| 3 | 2381 | 702 |
| 4 | 5563 | 702 |
| 0 | 8365 | 598 |
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 81 | 26 |
| 2 | 878 | 26 |
| 0 | 8130 | 23 |
| 0 | 22 | 107 |
| 0 | 31 | 107 |
| 1 | 171 | 94 |
| 2 | 1886 | 94 |
| 0 | 8107 | 92 |
| 0 | 21 | 123 |
| 0 | 28 | 123 |
| 1 | 158 | 109 |
| 2 | 1542 | 109 |
| 0 | 9627 | 102 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 227 to 166 computations (26.9% saved)
Compiled 278 to 116 computations (58.3% saved)
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