
Time bar (total: 4.2s)
| 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)
| 365.0ms | 8 256× | 0 | valid |
ival-add: 86.0ms (54.6% of total)ival-mult: 62.0ms (39.4% of total)ival-true: 6.0ms (3.8% of total)ival-assert: 3.0ms (1.9% 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 |
| 43.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-add: 26.0ms (87.2% of total)ival-mult: 4.0ms (13.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 70 |
| 1 | 94 | 63 |
| 2 | 286 | 63 |
| 3 | 722 | 63 |
| 4 | 1753 | 63 |
| 5 | 2443 | 63 |
| 6 | 2580 | 63 |
| 7 | 2580 | 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))) |
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 | (*.f64 y (+.f64 z x)) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-add: 3.0ms (63.8% of total)ival-mult: 2.0ms (42.5% 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)) |
| 1.0ms | z | @ | inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 1.0ms | 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 | x | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 452 |
| 1 | 249 | 452 |
| 2 | 749 | 452 |
| 3 | 2187 | 452 |
| 4 | 4758 | 452 |
| 5 | 6511 | 452 |
| 6 | 7644 | 452 |
| 0 | 8186 | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4297 | 15 |
| 0 | 8696 | 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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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 6 491 to 817 computations (87.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 5 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 330 | 5 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ▶ | 73.1% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ▶ | 63.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ▶ | 66.5% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ▶ | 40.6% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
Compiled 54 to 54 computations (0% 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) |
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 | 0.0078125 | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) | |
| accuracy | 29.318851440095774 | #s(approx (* y (+ z x)) (*.f64 z y)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0 | (*.f64 (+.f64 z x) y) | |
| accuracy | 21.419613491652086 | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 23.604132421569705 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 38.02690036234748 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) | |
| accuracy | 0 | (fma.f64 (+.f64 z x) y x) | |
| accuracy | 0 | (+.f64 z x) |
| 32.0ms | 256× | 0 | valid |
Compiled 142 to 26 computations (81.7% saved)
ival-mult: 7.0ms (56% of total)ival-add: 5.0ms (40% 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 |
|---|
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#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 | |
|---|---|---|---|---|
| 20.0ms | 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 | 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))) |
| 1.0ms | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 1700 |
| 1 | 273 | 1700 |
| 2 | 807 | 1700 |
| 3 | 2270 | 1700 |
| 4 | 4731 | 1700 |
| 5 | 6326 | 1700 |
| 6 | 7324 | 1700 |
| 7 | 7752 | 1700 |
| 0 | 8021 | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 77 |
| 0 | 23 | 74 |
| 1 | 95 | 74 |
| 2 | 640 | 74 |
| 0 | 8073 | 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> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 13 431 to 1 274 computations (90.5% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 798 | 1 | 799 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 798 | 6 | 804 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 73.1% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ✓ | 63.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 66.5% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ✓ | 40.6% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ▶ | 31.0% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 32 to 33 computations (-3.1% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 0 | 12 | 31 |
| 1 | 25 | 31 |
| 2 | 37 | 31 |
| 3 | 48 | 31 |
| 4 | 48 | 31 |
| 5 | 61 | 31 |
| 6 | 61 | 31 |
| 7 | 73 | 31 |
| 8 | 75 | 31 |
| 9 | 79 | 31 |
| 0 | 79 | 28 |
| 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 |
| Outputs |
|---|
#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 x y))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
#s(approx (+ (* y x) x) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 23.604132421569705 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 29.816861325778653 | #s(approx (+ (* y x) x) (*.f64 y x)) |
| 50.0ms | 256× | 0 | valid |
Compiled 33 to 16 computations (51.5% saved)
ival-add: 4.0ms (51.1% of total)ival-mult: 4.0ms (51.1% 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>) () ()) |
| 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 (* 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 #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 x (taylor 0 y) (#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 (+ x z))) (taylor 0 y) (#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 (+ x z))) (taylor 0 y) (#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 (+ x z))) (taylor 0 y) (#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 (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#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 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor inf y) (#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 (+ x (+ z (/ x y)))) (taylor inf y) (#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 (+ x (+ z (/ x y)))) (taylor inf y) (#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 (+ x (+ z (/ x y)))) (taylor inf y) (#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 inf y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#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 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x z)) (taylor -inf y) (#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 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#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 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#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 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#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 -inf y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#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 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 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 (+ (* x (+ 1 y)) (* y z)) (taylor 0 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 (+ (* x (+ 1 y)) (* y z)) (taylor 0 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 (+ (* x (+ 1 y)) (* y z)) (taylor 0 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 (* x (+ 1 y)) (taylor 0 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 (+ 1 y)) (taylor 0 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 (+ 1 y)) (taylor 0 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 (+ 1 y)) (taylor 0 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 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (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 (* x (+ 1 (+ y (/ (* y z) x)))) (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 (* x (+ 1 (+ y (/ (* y z) x)))) (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 (* x (+ 1 (+ y (/ (* y z) x)))) (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 (* x (+ 1 y)) (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 (+ 1 y)) (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 (+ 1 y)) (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 (+ 1 y)) (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 (* -1 (* x (- (* -1 y) 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 (/ (* 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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x)) |
| 1.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x)) |
| 0.0ms | x | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x)) |
| 0.0ms | y | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x)) |
| 0.0ms | y | @ | 0 | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 408 |
| 1 | 186 | 408 |
| 2 | 540 | 408 |
| 3 | 1461 | 408 |
| 4 | 3799 | 408 |
| 5 | 5931 | 408 |
| 0 | 8405 | 357 |
| 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))) |
(* 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))))) |
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 (/ 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)) |
(* -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) |
(* 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) |
(* 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) |
(* -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) |
| 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) |
(* 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) |
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 (/ 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) |
(* -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) |
(* 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) |
(* 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) |
(* -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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 0 | 12 | 29 |
| 1 | 58 | 29 |
| 2 | 464 | 29 |
| 3 | 5643 | 29 |
| 0 | 8108 | 26 |
| 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) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 544 to 32 computations (94.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 0 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 88 | 6 | 94 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 73.1% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ✓ | 63.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 66.5% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ✓ | 40.6% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 31.0% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 71 to 51 computations (28.2% 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) |
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
4 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 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:
| 4.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | x |
| 98.5% | 3 | y |
| 87.0% | 3 | z |
| 86.0% | 3 | (+.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)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | z |
| 82.8% | 3 | x |
| 86.0% | 3 | y |
Compiled 3 to 9 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)) |
#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)) |
4 calls:
| 4.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 3 | z |
| 78.3% | 3 | x |
| 63.1% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 70.2% | 4 | 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)) |
| 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 | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 2 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 51.2% | 6 | y |
| 54.0% | 3 | z |
| 55.4% | 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:
| 3.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.0% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 31.0% | 1 | y |
| 31.0% | 1 | z |
| 31.0% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.4456461820133184e-5 | 1.0613059269255207 |
| 12.0ms | -153.54328491393068 | -4.824352465897777e-7 |
| 12.0ms | 272× | 0 | valid |
Compiled 214 to 250 computations (-16.8% saved)
ival-add: 4.0ms (62.7% of total)ival-mult: 2.0ms (31.4% 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 |
|---|---|---|
| 8.0ms | 4.4456461820133184e-5 | 1.0613059269255207 |
| 9.0ms | -6.143118261684457e-27 | -8.893941489573305e-29 |
| 10.0ms | 208× | 0 | valid |
Compiled 175 to 207 computations (-18.3% saved)
ival-add: 2.0ms (52.3% of total)ival-mult: 1.0ms (26.1% 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 |
|---|---|---|
| 4.0ms | 3.7169934166888976e-124 | 5.531683617317556e-124 |
| 11.0ms | -3.924046802593309e-60 | -3.5070323878443688e-65 |
| 8.0ms | 192× | 0 | valid |
Compiled 118 to 156 computations (-32.2% saved)
ival-add: 2.0ms (56.4% of total)ival-mult: 1.0ms (28.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1.1908345260986256e+68 | 1.4578978494467831e+87 |
| 11.0ms | -6.522447182619092e+30 | -2.5844943482836264e+21 |
| 36.0ms | 304× | 0 | valid |
Compiled 181 to 259 computations (-43.1% saved)
ival-add: 3.0ms (54% of total)ival-mult: 2.0ms (36% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 159 |
| 1 | 76 | 159 |
| 2 | 86 | 159 |
| 3 | 97 | 159 |
| 4 | 97 | 159 |
| 5 | 112 | 159 |
| 6 | 112 | 159 |
| 7 | 124 | 159 |
| 8 | 126 | 159 |
| 9 | 130 | 159 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1 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 -4906163943676737/22300745198530623141535718272648361505980416 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7782220156096217/576460752303423488 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 -5934344573412455/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 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 -36999999999999997902848 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 10500000000000000397715129551468014153619855937790206151160465384675591889879040 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 -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))) (+.f64 #s(approx (* y (+ z x)) (*.f64 y z)) x)) |
(if (<=.f64 y #s(literal -4906163943676737/22300745198530623141535718272648361505980416 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (or (<=.f64 y #s(literal -4906163943676737/22300745198530623141535718272648361505980416 binary64)) (not (<=.f64 y #s(literal 7782220156096217/576460752303423488 binary64)))) #s(approx (+ x (* y (+ z x))) (*.f64 y (+.f64 x z))) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x))) |
(if (<=.f64 x #s(literal -5934344573412455/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (or (<=.f64 x #s(literal -5934344573412455/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (not (<=.f64 x #s(literal 1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)))) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 y z))) |
(if (<=.f64 x #s(literal -36999999999999997902848 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 10500000000000000397715129551468014153619855937790206151160465384675591889879040 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 (or (<=.f64 x #s(literal -36999999999999997902848 binary64)) (not (<=.f64 x #s(literal 10500000000000000397715129551468014153619855937790206151160465384675591889879040 binary64)))) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ x (* y (+ z x))) (*.f64 y z))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 1700 |
| 1 | 273 | 1700 |
| 2 | 807 | 1700 |
| 3 | 2270 | 1700 |
| 4 | 4731 | 1700 |
| 5 | 6326 | 1700 |
| 6 | 7324 | 1700 |
| 7 | 7752 | 1700 |
| 0 | 8021 | 1529 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4297 | 15 |
| 0 | 8696 | 14 |
| 0 | 70 | 452 |
| 1 | 249 | 452 |
| 2 | 749 | 452 |
| 3 | 2187 | 452 |
| 4 | 4758 | 452 |
| 5 | 6511 | 452 |
| 6 | 7644 | 452 |
| 0 | 8186 | 422 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 138 to 96 computations (30.4% saved)
Compiled 190 to 100 computations (47.4% saved)
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