
Time bar (total: 4.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 363.0ms | 8 256× | 0 | valid |
ival-add: 104.0ms (60.9% of total)ival-mult: 58.0ms (33.9% of total)ival-true: 6.0ms (3.5% of total)ival-assert: 3.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 z x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (+.f64 z x)) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (+.f64 z x))) |
| 0 | 0 | - | 0 | - | 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 |
| 25.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-add: 5.0ms (55.3% of total)ival-mult: 3.0ms (33.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 394× | distribute-rgt-in |
| 354× | unsub-neg |
| 318× | sub-neg |
| 240× | associate-*r* |
| 226× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 70 |
| 1 | 94 | 63 |
| 2 | 290 | 63 |
| 3 | 708 | 63 |
| 4 | 1654 | 63 |
| 5 | 2395 | 63 |
| 6 | 2500 | 63 |
| 7 | 2500 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 18 | 7 |
| 2 | 29 | 7 |
| 3 | 38 | 7 |
| 4 | 42 | 7 |
| 5 | 48 | 7 |
| 6 | 48 | 7 |
| 7 | 61 | 7 |
| 8 | 61 | 7 |
| 9 | 73 | 7 |
| 10 | 75 | 7 |
| 11 | 79 | 7 |
| 0 | 79 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 (+.f64 z x) y x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 y (+.f64 z x)) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 92× | lower-fma.f64 |
| 92× | lower-fma.f32 |
| 60× | lower-*.f32 |
| 58× | lower-*.f64 |
| 32× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 18 | 18 |
| 2 | 29 | 18 |
| 3 | 38 | 18 |
| 4 | 42 | 18 |
| 5 | 48 | 18 |
| 6 | 48 | 18 |
| 7 | 61 | 18 |
| 8 | 61 | 18 |
| 9 | 73 | 18 |
| 10 | 75 | 18 |
| 11 | 79 | 18 |
| 0 | 79 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
x |
(*.f64 y (+.f64 z x)) |
y |
(+.f64 z x) |
z |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 (+.f64 z x) y x) |
x |
(*.f64 y (+.f64 z x)) |
(*.f64 (+.f64 z x) y) |
y |
(+.f64 z x) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (+.f64 z x))) | |
| accuracy | 0.0078125 | (*.f64 y (+.f64 z x)) |
| 21.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-add: 12.0ms (82.5% of total)ival-mult: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.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 (* y z) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.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>) () ())) ()) |
#s(alt (* z (+ 1 (/ x 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>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ z (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ z (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ z (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ z x))) (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ z x))) (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ z x))) (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z 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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | z | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | z | @ | inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 1× | egg-herbie |
| 6 302× | lower-fma.f64 |
| 6 302× | lower-fma.f32 |
| 2 346× | lower-*.f64 |
| 2 346× | lower-*.f32 |
| 2 030× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 452 |
| 1 | 249 | 452 |
| 2 | 731 | 452 |
| 3 | 2093 | 452 |
| 4 | 4312 | 452 |
| 5 | 5677 | 452 |
| 6 | 6804 | 452 |
| 7 | 7667 | 452 |
| 0 | 8057 | 422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* x y) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
| Outputs |
|---|
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
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) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
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) |
| 4 948× | lower-fma.f64 |
| 4 948× | lower-fma.f32 |
| 4 672× | lower-*.f32 |
| 4 670× | lower-*.f64 |
| 3 162× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4269 | 15 |
| 0 | 8638 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(*.f64 y (+.f64 z x)) |
(+.f64 z x) |
| Outputs |
|---|
#<batchref> |
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Compiled 6 491 to 817 computations (87.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 6 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 329 | 6 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| 99.2% | (fma.f64 z y (fma.f64 y x x)) | |
| ▶ | 77.7% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ▶ | 59.0% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ▶ | 66.8% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ▶ | 44.4% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
Compiled 68 to 64 computations (5.9% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (* y (+ z x)) (*.f64 z y)) | |
| cost-diff | 0 | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 (+.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) y x) |
| 96× | lower-fma.f32 |
| 92× | lower-fma.f64 |
| 60× | lower-*.f32 |
| 56× | lower-*.f64 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 96 |
| 0 | 23 | 93 |
| 1 | 37 | 93 |
| 2 | 45 | 93 |
| 3 | 56 | 93 |
| 4 | 56 | 93 |
| 5 | 69 | 93 |
| 6 | 69 | 93 |
| 7 | 81 | 93 |
| 8 | 83 | 93 |
| 9 | 87 | 93 |
| 0 | 87 | 93 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
z |
x |
y |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
y |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
x |
#s(approx (* y (+ z x)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
y |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
#s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))) |
(*.f64 (+.f64 z x) y) |
(*.f64 y (+.f64 x z)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
y |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
(+.f64 #s(approx (* y (+ z x)) (*.f64 y z)) x) |
x |
#s(approx (* y (+ z x)) (*.f64 z y)) |
#s(approx (* y (+ z x)) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) | |
| accuracy | 28.205591324935742 | #s(approx (* y (+ z x)) (*.f64 z y)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 z x) y) | |
| accuracy | 21.21338112615447 | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 26.21962552814244 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 35.55588348580175 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 z x) y x) |
| 22.0ms | 256× | 0 | valid |
Compiled 77 to 13 computations (83.1% saved)
ival-mult: 6.0ms (55.2% of total)ival-add: 5.0ms (46% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y 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 (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y 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>) () ())) ()) |
#s(alt (* z (+ 1 (/ x 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>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 z x) y x) (patch (fma.f64 (+.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (* (+ z x) y) x) (+ z x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | z | @ | 0 | ((+ (* (+ z x) y) x) (+ z x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | z | @ | inf | ((+ (* (+ z x) y) x) (+ z x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | z | @ | -inf | ((+ (* (+ z x) y) x) (+ z x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | x | @ | -inf | ((+ (* (+ z x) y) x) (+ z x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1× | egg-herbie |
| 5 914× | lower-fma.f64 |
| 5 914× | lower-fma.f32 |
| 4 242× | lower-*.f64 |
| 4 242× | lower-*.f32 |
| 982× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 1700 |
| 1 | 273 | 1700 |
| 2 | 776 | 1700 |
| 3 | 2154 | 1700 |
| 4 | 4256 | 1700 |
| 5 | 5596 | 1700 |
| 6 | 6614 | 1700 |
| 7 | 7045 | 1700 |
| 8 | 7316 | 1700 |
| 9 | 7510 | 1700 |
| 0 | 8384 | 1529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* x y) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* x y) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
| Outputs |
|---|
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
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) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) 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) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
| 8 188× | lower-fma.f32 |
| 8 184× | lower-fma.f64 |
| 5 220× | lower-*.f32 |
| 5 216× | lower-*.f64 |
| 3 648× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 77 |
| 0 | 23 | 74 |
| 1 | 95 | 74 |
| 2 | 640 | 74 |
| 0 | 8020 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
#s(approx (* y (+ z x)) (*.f64 z y)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
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Compiled 13 431 to 1 274 computations (90.5% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 2 | 799 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 798 | 7 | 805 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 77.7% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ▶ | 66.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) |
| ✓ | 59.0% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 66.8% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ✓ | 44.4% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ▶ | 26.7% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 39 to 39 computations (0% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) | |
| cost-diff | 192 | (fma.f64 z y (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) x) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| 92× | lower-fma.f32 |
| 90× | lower-fma.f64 |
| 60× | lower-*.f32 |
| 58× | lower-*.f64 |
| 32× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 0 | 16 | 55 |
| 1 | 29 | 55 |
| 2 | 39 | 55 |
| 3 | 47 | 55 |
| 4 | 47 | 55 |
| 5 | 60 | 55 |
| 6 | 60 | 55 |
| 7 | 72 | 55 |
| 8 | 74 | 55 |
| 9 | 78 | 55 |
| 0 | 78 | 51 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) |
(fma.f64 z y (*.f64 y x)) |
z |
y |
(*.f64 y x) |
x |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(fma.f64 z y (*.f64 y x)) |
(*.f64 (+.f64 z x) y) |
z |
y |
(*.f64 y x) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.5039007452111204 | (fma.f64 z y (*.f64 y x)) | |
| accuracy | 21.21338112615447 | #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 26.21962552814244 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 32.36509562908473 | #s(approx (+ (* y x) x) (*.f64 y x)) |
| 24.0ms | 256× | 0 | valid |
Compiled 39 to 12 computations (69.2% saved)
ival-mult: 11.0ms (71.6% of total)ival-add: 4.0ms (26% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 y x)) (patch (fma.f64 z y (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x)))) |
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x)))) |
| 0.0ms | x | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x)))) |
| 0.0ms | y | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x)))) |
| 0.0ms | y | @ | 0 | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (* y x)) (+ x (* y (+ z x)))) |
| 1× | egg-herbie |
| 6 266× | lower-fma.f64 |
| 6 266× | lower-fma.f32 |
| 2 420× | lower-*.f64 |
| 2 420× | lower-*.f32 |
| 1 058× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 800 |
| 1 | 245 | 800 |
| 2 | 703 | 800 |
| 3 | 1842 | 800 |
| 4 | 4687 | 800 |
| 5 | 6747 | 800 |
| 0 | 8114 | 719 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* x y) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
| Outputs |
|---|
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y z) |
(*.f64 z y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
| 8 910× | lower-fma.f32 |
| 8 908× | lower-fma.f64 |
| 6 626× | lower-*.f32 |
| 6 624× | lower-*.f64 |
| 4 518× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 16 | 47 |
| 1 | 72 | 47 |
| 2 | 593 | 47 |
| 0 | 8642 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 z y (*.f64 y x)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) |
| Outputs |
|---|
#<batchref> |
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Compiled 2 944 to 338 computations (88.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 262 | 0 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 262 | 7 | 269 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 77.7% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ✓ | 66.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) |
| ✓ | 59.0% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 66.8% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ✓ | 44.4% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 26.7% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 92 to 60 computations (34.8% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
(fma.f64 (+.f64 z x) y x) |
#s(approx (+ x (* y (+ z x))) (fma.f64 z y (*.f64 y x))) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 z y (fma.f64 y x x)) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
4 calls:
| 9.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
4 calls:
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | x |
| 99.6% | 3 | y |
| 86.8% | 3 | z |
| 87.0% | 4 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
4 calls:
| 6.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 5 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 79.5% | 3 | z |
| 84.2% | 3 | x |
| 84.4% | 3 | y |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 3 | x |
| 67.5% | 4 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
4 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 4 | y |
| 47.4% | 2 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 53.7% | 3 | z |
| 55.7% | 3 | x |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
4 calls:
| 4.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.7% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 26.7% | 1 | y |
| 26.7% | 1 | z |
| 26.7% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.316521574420629e-6 | 0.3141201011245898 |
| 9.0ms | -18286706951.571503 | -9885198.601215344 |
| 10.0ms | 272× | 0 | valid |
Compiled 214 to 250 computations (-16.8% saved)
ival-add: 3.0ms (64.6% of total)ival-mult: 2.0ms (43.1% 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 | 3.492236700284515e-32 | 1.1530078711430685e-30 |
| 8.0ms | -1.6431658373157052e-26 | -5.253056685096697e-28 |
| 8.0ms | 224× | 0 | valid |
Compiled 164 to 194 computations (-18.3% saved)
ival-add: 2.0ms (53.5% of total)ival-mult: 1.0ms (26.8% 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 |
|---|---|---|
| 18.0ms | 1.2893810425314906e-108 | 2.315075106357799e-105 |
| 40.0ms | -1.8591654446466908e-103 | -2.48582809401243e-120 |
| 27.0ms | 288× | 0 | valid |
Compiled 172 to 228 computations (-32.6% saved)
ival-mult: 11.0ms (53.2% of total)ival-add: 10.0ms (48.4% 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 |
|---|---|---|
| 9.0ms | 1.1343201858946476e+33 | 6.3923069053984875e+35 |
| 8.0ms | -4.9553729136214744e+86 | -7.0977191965043425e+84 |
| 9.0ms | 240× | 0 | valid |
Compiled 145 to 207 computations (-42.8% saved)
ival-add: 2.0ms (49.5% of total)ival-mult: 2.0ms (49.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
| 4× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 210 |
| 1 | 50 | 210 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5584463537939415/18014398509481984 binary64)) (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 y #s(literal -3972320238488267/1393796574908163946345982392040522594123776 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1598517415830675/45671926166590716193865151022383844364247891968 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 x #s(literal -6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (<=.f64 x #s(literal -320000000000000004681822473815959369910413756116689618969155451894334836560367429091328 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 279999999999999998596122731654152192 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(fma.f64 (+.f64 x z) y x) |
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5584463537939415/18014398509481984 binary64)) (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 5584463537939415/18014398509481984 binary64)) (+.f64 #s(approx (* y (+ z x)) (*.f64 y z)) x) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))))) |
(if (<=.f64 y #s(literal -3972320238488267/1393796574908163946345982392040522594123776 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1598517415830675/45671926166590716193865151022383844364247891968 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 y #s(literal -3972320238488267/1393796574908163946345982392040522594123776 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 1598517415830675/45671926166590716193865151022383844364247891968 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))))) |
(if (<=.f64 x #s(literal -6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (<=.f64 x #s(literal -6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 y z)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (<=.f64 x #s(literal -320000000000000004681822473815959369910413756116689618969155451894334836560367429091328 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 279999999999999998596122731654152192 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(if (<=.f64 x #s(literal -320000000000000004681822473815959369910413756116689618969155451894334836560367429091328 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 279999999999999998596122731654152192 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 y z)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| 6 302× | lower-fma.f64 |
| 6 302× | lower-fma.f32 |
| 5 914× | lower-fma.f64 |
| 5 914× | lower-fma.f32 |
| 4 948× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4269 | 15 |
| 0 | 8638 | 14 |
| 0 | 76 | 1700 |
| 1 | 273 | 1700 |
| 2 | 776 | 1700 |
| 3 | 2154 | 1700 |
| 4 | 4256 | 1700 |
| 5 | 5596 | 1700 |
| 6 | 6614 | 1700 |
| 7 | 7045 | 1700 |
| 8 | 7316 | 1700 |
| 9 | 7510 | 1700 |
| 0 | 8384 | 1529 |
| 0 | 70 | 452 |
| 1 | 249 | 452 |
| 2 | 731 | 452 |
| 3 | 2093 | 452 |
| 4 | 4312 | 452 |
| 5 | 5677 | 452 |
| 6 | 6804 | 452 |
| 7 | 7667 | 452 |
| 0 | 8057 | 422 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 156 to 92 computations (41% saved)
Compiled 226 to 92 computations (59.3% saved)
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