
Time bar (total: 4.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 411.0ms | 8 256× | 0 | valid |
ival-add: 95.0ms (58% of total)ival-mult: 59.0ms (36% of total)ival-true: 6.0ms (3.7% of total)ival-assert: 3.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 z x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (+.f64 z x)) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (+.f64 z x))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 62.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-add: 29.0ms (86.3% of total)ival-mult: 4.0ms (11.9% 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 | 290 | 63 |
| 3 | 708 | 63 |
| 4 | 1654 | 63 |
| 5 | 2395 | 63 |
| 6 | 2500 | 63 |
| 7 | 2500 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 18 | 7 |
| 2 | 29 | 7 |
| 3 | 38 | 7 |
| 4 | 42 | 7 |
| 5 | 48 | 7 |
| 6 | 48 | 7 |
| 7 | 61 | 7 |
| 8 | 61 | 7 |
| 9 | 73 | 7 |
| 10 | 75 | 7 |
| 11 | 79 | 7 |
| 0 | 79 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 (+.f64 z x) y x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 y (+.f64 z x)) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (+.f64 z x))) |
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 | 0.0078125 | (+.f64 x (*.f64 y (+.f64 z x))) | |
| accuracy | 0.01171875 | (*.f64 y (+.f64 z x)) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-add: 3.0ms (63.1% of total)ival-mult: 2.0ms (42.1% 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 | x | @ | -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 | z | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | y | @ | -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 | 731 | 452 |
| 3 | 2093 | 452 |
| 4 | 4312 | 452 |
| 5 | 5677 | 452 |
| 6 | 6804 | 452 |
| 7 | 7667 | 452 |
| 0 | 8057 | 422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(* x y) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(* y z) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* y z) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (/ (* x y) z))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y (+ x z)) |
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
(+ (* x y) (* y z)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
(* x (+ y (/ (* y z) x))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
| Outputs |
|---|
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4269 | 15 |
| 0 | 8638 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(*.f64 y (+.f64 z x)) |
(+.f64 z x) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<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 |
|---|---|---|
| ▶ | 98.0% | (fma.f64 y x (fma.f64 z y x)) |
| ▶ | 73.1% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ▶ | 59.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ▶ | 71.8% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ▶ | 45.1% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
Compiled 56 to 54 computations (3.6% 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 | (fma.f64 z y x) | |
| cost-diff | 192 | (fma.f64 y x (fma.f64 z y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 98 |
| 0 | 25 | 98 |
| 1 | 42 | 98 |
| 2 | 48 | 98 |
| 3 | 54 | 98 |
| 4 | 54 | 98 |
| 5 | 67 | 98 |
| 6 | 67 | 98 |
| 7 | 79 | 98 |
| 8 | 81 | 98 |
| 9 | 85 | 98 |
| 0 | 85 | 94 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 z y x)) |
y |
x |
(fma.f64 z y x) |
z |
#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 y x (fma.f64 z y x)) |
(fma.f64 (+.f64 z x) y x) |
y |
x |
(fma.f64 z y x) |
z |
#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)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 x y x)) |
(fma.f64 y x x) |
(fma.f64 x y 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))) |
(+.f64 #s(approx (* y (+ z x)) (*.f64 z y)) x) |
x |
#s(approx (* y (+ z x)) (*.f64 z y)) |
(*.f64 z y) |
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 | 26.925907799413995 | #s(approx (* y (+ z x)) (*.f64 z y)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 z x) y) | |
| accuracy | 18.037545309399704 | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 26.162269288574514 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 35.10900580137433 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) | |
| accuracy | 0 | (fma.f64 z y x) | |
| accuracy | 1.249986238027801 | (fma.f64 y x (fma.f64 z y x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 81 to 14 computations (82.7% saved)
ival-add: 24.0ms (78% of total)ival-mult: 7.0ms (22.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y x) (patch (fma.f64 z y 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 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ x z))) (taylor inf z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ x z))) (taylor inf z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ x z))) (taylor inf z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ z x) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | z | @ | 0 | ((+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ z x) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | x | @ | -inf | ((+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ z x) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | z | @ | -inf | ((+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ z x) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1.0ms | z | @ | inf | ((+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ x (* y (+ z x))) (* (+ z x) y) (+ z x) (+ x (* y (+ z x))) (* y (+ z x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1854 |
| 1 | 344 | 1854 |
| 2 | 935 | 1854 |
| 3 | 2404 | 1854 |
| 4 | 4516 | 1854 |
| 5 | 6139 | 1854 |
| 6 | 7485 | 1854 |
| 0 | 8041 | 1656 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* x y)) |
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(+ x (+ (* x y) (* y z))) |
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(* x y) |
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(* y z) |
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(* -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))))) |
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))) |
(* 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 (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z 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) |
(* 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 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) |
(* 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) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ x z))) |
(fma.f64 z y x) |
(* z (+ y (/ x z))) |
(fma.f64 z y x) |
(* z (+ y (/ x z))) |
(fma.f64 z 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) |
(* 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) |
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) |
(* 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) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(fma.f64 z y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(fma.f64 z y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(fma.f64 z 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) |
(* 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) |
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) |
(* -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 z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z 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 z) |
(*.f64 z y) |
(* y (+ z (/ x y))) |
(fma.f64 z y x) |
(* y (+ z (/ x y))) |
(fma.f64 z y x) |
(* y (+ z (/ x y))) |
(fma.f64 z 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) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z y x) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z y x) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z 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) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z 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) |
(* 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) |
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 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 (/ (* y z) x))) |
(fma.f64 z y x) |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 z y x) |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 z 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 (/ (* 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 |
(* 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 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 (/ (* y z) x)) 1))) |
(fma.f64 z y x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(fma.f64 z y x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(fma.f64 z 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 (/ (* 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) |
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) |
(* 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 | 17 | 82 |
| 0 | 25 | 82 |
| 1 | 105 | 82 |
| 2 | 839 | 82 |
| 0 | 8241 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 z y x)) |
(fma.f64 z y 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 z x) |
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
#s(approx (* y (+ z x)) (*.f64 z y)) |
| Outputs |
|---|
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Compiled 10 153 to 1 083 computations (89.3% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 688 | 2 | 690 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 689 | 6 | 695 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.9% | (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) |
| ✓ | 73.1% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ✓ | 59.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 71.8% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ✓ | 45.1% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ▶ | 31.8% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 33 to 34 computations (-3% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) | |
| 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 | 16 | 58 |
| 0 | 19 | 58 |
| 1 | 33 | 58 |
| 2 | 40 | 58 |
| 3 | 48 | 58 |
| 4 | 48 | 58 |
| 5 | 61 | 58 |
| 6 | 61 | 58 |
| 7 | 73 | 58 |
| 8 | 75 | 58 |
| 9 | 79 | 58 |
| 0 | 79 | 53 |
| 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 |
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) |
y |
x |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) |
y |
x |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 1.249986238027801 | (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 28.005409381137024 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 26.162269288574514 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 26.998266789018864 | #s(approx (+ (* y x) x) (*.f64 y x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 39 to 13 computations (66.7% saved)
ival-add: 6.0ms (54.4% of total)ival-mult: 5.0ms (45.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<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 (* y z) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<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 (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<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>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y)) |
| 1.0ms | z | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y)) |
| 0.0ms | x | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y)) |
| 0.0ms | y | @ | 0 | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 858 |
| 1 | 265 | 858 |
| 2 | 725 | 858 |
| 3 | 1748 | 858 |
| 4 | 4115 | 858 |
| 5 | 6410 | 858 |
| 0 | 8248 | 750 |
| 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 y)) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
(+ x (+ (* x y) (* y z))) |
x |
(+ x (* y z)) |
(+ x (* y 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 z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x 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 z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ 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 y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
(+ x (* y (+ x z))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* 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))) |
(* 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)))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ 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))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* y z) |
(* y z) |
(* y z) |
(* 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)) |
(* 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)) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 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))) |
(* -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) |
(* -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 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
| Outputs |
|---|
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* 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 z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z 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 z))) |
(fma.f64 z y x) |
(* z (+ y (/ x z))) |
(fma.f64 z y x) |
(* z (+ y (/ x z))) |
(fma.f64 z 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 z))))) |
(fma.f64 z y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(fma.f64 z y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(fma.f64 z 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 y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 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 (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z 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) |
(* 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) |
(* y z) |
(*.f64 z y) |
(* y (+ z (/ x y))) |
(fma.f64 z y x) |
(* y (+ z (/ x y))) |
(fma.f64 z y x) |
(* y (+ z (/ x y))) |
(fma.f64 z 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z y x) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z y x) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z 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) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 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 z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 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 (/ (* y z) x))) |
(fma.f64 z y x) |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 z y x) |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 z 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) |
(* -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 (/ (* y z) x)) 1))) |
(fma.f64 z y x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(fma.f64 z y x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(fma.f64 z y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 53 |
| 0 | 19 | 53 |
| 1 | 86 | 53 |
| 2 | 659 | 53 |
| 0 | 8033 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.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> |
Compiled 3 507 to 228 computations (93.5% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 0 | 247 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 247 | 6 | 253 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.9% | (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) |
| ✓ | 73.1% | (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) |
| ✓ | 59.1% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 71.8% | #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| ✓ | 45.1% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 31.8% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 80 to 55 computations (31.3% 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))) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) |
(fma.f64 y x (fma.f64 z y x)) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
4 calls:
| 91.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | 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:
| 11.0ms | x |
| 3.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | x |
| 99.4% | 3 | y |
| 91.2% | 4 | z |
| 88.0% | 4 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | z |
| 88.7% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#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:
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 3 | z |
| 61.5% | 2 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 78.4% | 3 | x |
| 64.7% | 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))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
4 calls:
| 40.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 2 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 50.6% | 4 | y |
| 61.1% | 3 | z |
| 59.5% | 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:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.8% | 1 | y |
| 31.8% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 31.8% | 1 | x |
| 31.8% | 1 | z |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.359450235276421e-27 | 4.068129140309654e-15 |
| 72.0ms | -72.00402195456304 | -6.916338141483039e-9 |
| 13.0ms | 320× | 0 | valid |
Compiled 250 to 292 computations (-16.8% saved)
ival-add: 3.0ms (51.6% of total)ival-mult: 2.0ms (34.4% 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 |
|---|---|---|
| 10.0ms | 6.82197132938997e-59 | 1.040871375606815e-55 |
| 35.0ms | -3.727409149358235e-100 | -1.83087886172615e-102 |
| 36.0ms | 240× | 0 | valid |
Compiled 175 to 207 computations (-18.3% saved)
ival-mult: 21.0ms (88% of total)ival-add: 2.0ms (8.4% 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 |
|---|---|---|
| 12.0ms | 0.001428594623308831 | 1493102344442.7588 |
| 18.0ms | -1.5273515144212732e-83 | -1.6674712893984617e-85 |
| 21.0ms | 272× | 0 | valid |
Compiled 163 to 216 computations (-32.5% saved)
ival-add: 12.0ms (82.8% of total)ival-mult: 2.0ms (13.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.325360003312474e-34 | 1.369653589993956e-31 |
| 14.0ms | -4.8379357707448345e+38 | -53919922994171.086 |
| 12.0ms | 304× | 0 | valid |
Compiled 181 to 259 computations (-43.1% saved)
ival-add: 3.0ms (54.7% of total)ival-mult: 2.0ms (36.5% 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 | 46 | 205 |
| 1 | 52 | 205 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 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 -3546180557675503/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 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 -4549481507548665/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (<=.f64 z #s(literal -59000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 2374940160662717/365375409332725729550921208179070754913983135744 binary64)) #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))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 (*.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 2535301200456459/633825300114114700748351602688 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 -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (+.f64 #s(approx (* y (+ z x)) (*.f64 z y)) x) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 y #s(literal -3546180557675503/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 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 -4549481507548665/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (<=.f64 z #s(literal -59000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 2374940160662717/365375409332725729550921208179070754913983135744 binary64)) #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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1854 |
| 1 | 344 | 1854 |
| 2 | 935 | 1854 |
| 3 | 2404 | 1854 |
| 4 | 4516 | 1854 |
| 5 | 6139 | 1854 |
| 6 | 7485 | 1854 |
| 0 | 8041 | 1656 |
| 0 | 70 | 452 |
| 1 | 249 | 452 |
| 2 | 731 | 452 |
| 3 | 2093 | 452 |
| 4 | 4312 | 452 |
| 5 | 5677 | 452 |
| 6 | 6804 | 452 |
| 7 | 7667 | 452 |
| 0 | 8057 | 422 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 143 to 85 computations (40.6% saved)
Compiled 226 to 92 computations (59.3% saved)
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