
Time bar (total: 4.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 458.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
ival-mult: 136.0ms (44.8% of total)ival-add: 117.0ms (38.5% of total)ival-sub: 38.0ms (12.5% of total)ival-true: 5.0ms (1.6% of total)exact: 4.0ms (1.3% of total)ival-assert: 3.0ms (1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 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 |
| 26.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-add: 4.0ms (36.3% of total)ival-mult: 3.0ms (27.2% of total)ival-sub: 2.0ms (18.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 496× | lower-fma.f64 |
| 496× | lower-fma.f32 |
| 232× | unsub-neg |
| 192× | lower-*.f32 |
| 190× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 39 | 39 |
| 2 | 123 | 37 |
| 3 | 509 | 35 |
| 4 | 1023 | 35 |
| 5 | 1335 | 35 |
| 6 | 1376 | 35 |
| 7 | 1380 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 27 | 7 |
| 3 | 58 | 7 |
| 4 | 109 | 7 |
| 5 | 191 | 7 |
| 6 | 354 | 7 |
| 7 | 562 | 7 |
| 8 | 636 | 7 |
| 9 | 641 | 7 |
| 0 | 641 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
(fma.f64 y x (-.f64 y x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) 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 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 496× | lower-fma.f64 |
| 496× | lower-fma.f32 |
| 192× | lower-*.f32 |
| 190× | lower-*.f64 |
| 136× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 27 | 18 |
| 3 | 58 | 18 |
| 4 | 109 | 18 |
| 5 | 191 | 18 |
| 6 | 354 | 18 |
| 7 | 562 | 18 |
| 8 | 636 | 18 |
| 9 | 641 | 18 |
| 0 | 641 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) y) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
(fma.f64 y x (-.f64 y x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) y) |
(fma.f64 y x y) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 52.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 2.0ms (43.5% of total)ival-sub: 1.0ms (21.8% of total)ival-add: 1.0ms (21.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | x | @ | inf | ((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | y | @ | 0 | ((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | -inf | ((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | x | @ | -inf | ((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1)) |
| 1× | egg-herbie |
| 4 192× | lower-*.f64 |
| 4 192× | lower-*.f32 |
| 3 480× | lower-fma.f64 |
| 3 480× | lower-fma.f32 |
| 1 904× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 291 |
| 1 | 140 | 291 |
| 2 | 363 | 291 |
| 3 | 978 | 291 |
| 4 | 2455 | 291 |
| 5 | 3593 | 291 |
| 6 | 4358 | 291 |
| 7 | 5301 | 291 |
| 8 | 5827 | 291 |
| 9 | 6391 | 291 |
| 10 | 7434 | 291 |
| 0 | 8103 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* -1 x) |
(neg.f64 x) |
(- (* y (+ 1 x)) x) |
(-.f64 (fma.f64 x y y) x) |
(- (* y (+ 1 x)) x) |
(-.f64 (fma.f64 x y y) x) |
(- (* y (+ 1 x)) x) |
(-.f64 (fma.f64 x y y) x) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(-.f64 (fma.f64 x y y) x) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(-.f64 (fma.f64 x y y) x) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(-.f64 (fma.f64 x y y) x) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(-.f64 (fma.f64 x y y) x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(-.f64 (fma.f64 x y y) x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(-.f64 (fma.f64 x y y) x) |
y |
(+ y (* x y)) |
(fma.f64 x y y) |
(+ y (* x y)) |
(fma.f64 x y y) |
(+ y (* x y)) |
(fma.f64 x y y) |
y |
(+ y (* x (- y 1))) |
(-.f64 (fma.f64 x y y) x) |
(+ y (* x (- y 1))) |
(-.f64 (fma.f64 x y y) x) |
(+ y (* x (- y 1))) |
(-.f64 (fma.f64 x y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ y x))) |
(fma.f64 x y y) |
(* x (+ y (/ y x))) |
(fma.f64 x y y) |
(* x (+ y (/ y x))) |
(fma.f64 x y y) |
(* x (- y 1)) |
(fma.f64 x y (neg.f64 x)) |
(* x (- (+ y (/ y x)) 1)) |
(-.f64 (fma.f64 x y y) x) |
(* x (- (+ y (/ y x)) 1)) |
(-.f64 (fma.f64 x y y) x) |
(* x (- (+ y (/ y x)) 1)) |
(-.f64 (fma.f64 x y y) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 x y y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 x y y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 x y y) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x y (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(-.f64 (fma.f64 x y y) x) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(-.f64 (fma.f64 x y y) x) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(-.f64 (fma.f64 x y y) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
| 5 040× | lower-fma.f64 |
| 5 040× | lower-fma.f32 |
| 3 674× | lower-/.f64 |
| 3 674× | lower-/.f32 |
| 3 510× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 38 | 15 |
| 2 | 269 | 15 |
| 3 | 3362 | 15 |
| 0 | 8495 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x #s(literal 1 binary64)) y) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y)) |
(*.f64 y (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) y) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)))) |
(/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 y x y) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y x)) |
(fma.f64 x y y) |
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x))) |
(+.f64 (*.f64 y x) y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (fma.f64 y x y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (hypot.f64 (fma.f64 y x y) x) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) y (hypot.f64 (fma.f64 y x y) x)) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) y (hypot.f64 (fma.f64 y x y) x)) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 y x y) x) #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) (-.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y x y) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 (fma.f64 y x y) x) (*.f64 (fma.f64 y x y) x))) |
(*.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) y (hypot.f64 (fma.f64 y x y) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) y (hypot.f64 (fma.f64 y x y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 7 767 to 1 058 computations (86.4% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 380 | 4 | 384 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 381 | 4 | 385 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.4% | (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
| ▶ | 59.0% | (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
| ▶ | 64.6% | #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
| ▶ | 38.1% | #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
Compiled 20 to 19 computations (5% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (+ x 1) y) (*.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) | |
| cost-diff | 0 | (fma.f64 x y y) | |
| cost-diff | 0 | #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| 672× | lower-fma.f32 |
| 670× | lower-fma.f64 |
| 288× | lower-*.f32 |
| 284× | lower-*.f64 |
| 192× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 80 |
| 0 | 22 | 76 |
| 1 | 36 | 76 |
| 2 | 61 | 76 |
| 3 | 94 | 76 |
| 4 | 172 | 76 |
| 5 | 319 | 76 |
| 6 | 533 | 76 |
| 7 | 746 | 76 |
| 8 | 822 | 76 |
| 9 | 829 | 76 |
| 0 | 829 | 76 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
(fma.f64 x y y) |
x |
y |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
#s(approx (* (+ x 1) y) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) |
(fma.f64 x y y) |
(fma.f64 y x y) |
x |
y |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) |
#s(approx (* (+ x 1) y) (*.f64 x y)) |
#s(approx (* (+ x 1) y) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x)) |
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) | |
| accuracy | 29.33404671966741 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 33.94339849051123 | #s(approx (* (+ x 1) y) (*.f64 x y)) | |
| accuracy | 0 | (fma.f64 x y y) | |
| accuracy | 22.62940042951836 | #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 39.645207687710794 | #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 61 to 11 computations (82% saved)
ival-add: 3.0ms (35.2% of total)ival-mult: 3.0ms (35.2% of total)ival-sub: 1.0ms (11.7% of total)ival-neg: 1.0ms (11.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ()) |
#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ()) |
#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1)) |
| 1.0ms | y | @ | -inf | ((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1)) |
| 1.0ms | y | @ | inf | ((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1)) |
| 1.0ms | y | @ | 0 | ((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1)) |
| 1× | egg-herbie |
| 4 204× | lower-*.f64 |
| 4 204× | lower-*.f32 |
| 3 480× | lower-fma.f64 |
| 3 480× | lower-fma.f32 |
| 1 918× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 1058 |
| 1 | 149 | 1058 |
| 2 | 398 | 1058 |
| 3 | 1017 | 1058 |
| 4 | 2499 | 1058 |
| 5 | 3633 | 1058 |
| 6 | 4399 | 1058 |
| 7 | 5341 | 1058 |
| 8 | 5867 | 1058 |
| 9 | 6429 | 1058 |
| 10 | 7472 | 1058 |
| 0 | 8027 | 915 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 x) |
(neg.f64 x) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 x) |
(neg.f64 x) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(- (* y (+ 1 x)) x) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
y |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
y |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
y |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
y |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(+ y (* x (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* x (- y 1)) |
(fma.f64 y x (neg.f64 x)) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (- y 1)) |
(fma.f64 y x (neg.f64 x)) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (- y 1)) |
(fma.f64 y x (neg.f64 x)) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (- y 1)) |
(fma.f64 y x (neg.f64 x)) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
| 10 926× | lower-fma.f32 |
| 10 924× | lower-fma.f64 |
| 5 374× | lower-*.f32 |
| 5 370× | lower-*.f64 |
| 3 800× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 72 |
| 0 | 22 | 68 |
| 1 | 91 | 68 |
| 2 | 700 | 68 |
| 0 | 8480 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
(fma.f64 x y y) |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
#s(approx (* (+ x 1) y) (*.f64 x y)) |
(*.f64 x y) |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 2 binary64)))) (fma.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (*.f64 (*.f64 y y) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fma.f64 y x y)) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) y)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) (/.f64 (fma.f64 y x y) (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) (*.f64 (fma.f64 y x y) (pow.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x y) (/.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) |
(*.f64 (fma.f64 y x y) (*.f64 (-.f64 (*.f64 y x) y) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) (hypot.f64 (*.f64 y x) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (hypot.f64 (*.f64 y x) y) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (hypot.f64 (*.f64 y x) y) (*.f64 (*.f64 y y) x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) y)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 y x y) #s(literal 0 binary64))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (+.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (fma.f64 (*.f64 x x) (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (hypot.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x))) (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) x) (-.f64 (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (hypot.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) y) (/.f64 #s(approx (+ x 1) #s(literal 1 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (*.f64 (pow.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 2 binary64)) y) (/.f64 y (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (pow.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(fma.f64 (pow.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (/.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) y) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(fma.f64 y (/.f64 (*.f64 (pow.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 2 binary64)) y) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))) |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) x) y (hypot.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))) |
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) |
(*.f64 y #s(approx (+ x 1) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 0 binary64))))) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y #s(literal 0 binary64)) |
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 0 binary64)) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
Compiled 9 255 to 990 computations (89.3% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 548 | 1 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 548 | 5 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.4% | (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
| ✓ | 59.0% | (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
| ✓ | 64.6% | #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
| ✓ | 38.1% | #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| ▶ | 24.2% | #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
Compiled 25 to 24 computations (4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* x y) y) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
| 496× | lower-fma.f64 |
| 496× | lower-fma.f32 |
| 192× | lower-*.f32 |
| 190× | lower-*.f64 |
| 142× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 0 | 12 | 31 |
| 1 | 20 | 31 |
| 2 | 38 | 31 |
| 3 | 56 | 31 |
| 4 | 101 | 31 |
| 5 | 198 | 31 |
| 6 | 342 | 31 |
| 7 | 550 | 31 |
| 8 | 617 | 31 |
| 9 | 622 | 31 |
| 0 | 622 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (+ (* x y) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (+ (* x y) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 22.62940042951836 | #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) | |
| accuracy | 33.94339849051123 | #s(approx (+ (* x y) y) (*.f64 y x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 19 to 11 computations (42.1% saved)
ival-add: 5.0ms (43.1% of total)ival-mult: 5.0ms (43.1% of total)ival-sub: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.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 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((- (* (+ x 1) y) x) (+ (* x y) y) (* y x)) |
| 0.0ms | x | @ | -inf | ((- (* (+ x 1) y) x) (+ (* x y) y) (* y x)) |
| 0.0ms | y | @ | inf | ((- (* (+ x 1) y) x) (+ (* x y) y) (* y x)) |
| 0.0ms | x | @ | inf | ((- (* (+ x 1) y) x) (+ (* x y) y) (* y x)) |
| 0.0ms | y | @ | 0 | ((- (* (+ x 1) y) x) (+ (* x y) y) (* y x)) |
| 1× | egg-herbie |
| 20 672× | lower-fma.f64 |
| 20 672× | lower-fma.f32 |
| 3 928× | lower-/.f32 |
| 3 928× | lower-/.f64 |
| 3 326× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 333 |
| 1 | 140 | 333 |
| 2 | 388 | 333 |
| 3 | 964 | 333 |
| 4 | 2549 | 333 |
| 5 | 3752 | 333 |
| 6 | 4662 | 333 |
| 7 | 5267 | 333 |
| 8 | 5584 | 333 |
| 9 | 5789 | 333 |
| 10 | 5884 | 333 |
| 11 | 5924 | 333 |
| 12 | 5944 | 333 |
| 13 | 5944 | 333 |
| 14 | 5962 | 333 |
| 15 | 5962 | 333 |
| 0 | 9053 | 292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(- (* y (+ 1 x)) x) |
(-.f64 (fma.f64 y x y) x) |
(- (* y (+ 1 x)) x) |
(-.f64 (fma.f64 y x y) x) |
(- (* y (+ 1 x)) x) |
(-.f64 (fma.f64 y x y) x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(-.f64 (fma.f64 y x y) x) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(-.f64 (fma.f64 y x y) x) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(-.f64 (fma.f64 y x y) x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(-.f64 (fma.f64 y x y) x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(-.f64 (fma.f64 y x y) x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(-.f64 (fma.f64 y x y) x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
y |
(+ y (* x (- y 1))) |
(-.f64 (fma.f64 y x y) x) |
(+ y (* x (- y 1))) |
(-.f64 (fma.f64 y x y) x) |
(+ y (* x (- y 1))) |
(-.f64 (fma.f64 y x y) x) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (- y 1)) |
(fma.f64 y x (neg.f64 x)) |
(* x (- (+ y (/ y x)) 1)) |
(-.f64 (fma.f64 y x y) x) |
(* x (- (+ y (/ y x)) 1)) |
(-.f64 (fma.f64 y x y) x) |
(* x (- (+ y (/ y x)) 1)) |
(-.f64 (fma.f64 y x y) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 y x (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(-.f64 (fma.f64 y x y) x) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(-.f64 (fma.f64 y x y) x) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(-.f64 (fma.f64 y x y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 7 248× | lower-fma.f64 |
| 7 248× | lower-fma.f32 |
| 4 978× | lower-*.f32 |
| 4 976× | lower-*.f64 |
| 3 476× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 0 | 12 | 29 |
| 1 | 55 | 29 |
| 2 | 447 | 29 |
| 3 | 7670 | 29 |
| 0 | 8213 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (+ (* x y) y) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (+ (* x y) y) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 x y) |
Compiled 465 to 28 computations (94% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 0 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 76 | 5 | 81 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.4% | (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
| ✓ | 59.0% | (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
| ✓ | 64.6% | #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
| ✓ | 38.1% | #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| ✓ | 24.2% | #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
Compiled 57 to 43 computations (24.6% saved)
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
3 calls:
| 3.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
3 calls:
| 5.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
| 100.0% | 3 | y |
| 89.7% | 3 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | x |
| 90.8% | 3 | y |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) |
3 calls:
| 2.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.0% | 2 | x |
| 49.4% | 3 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 59.0% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
3 calls:
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.1% | 1 | x |
| 38.1% | 1 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 38.1% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.9268243393404547e-22 | 1.109601318796721e-15 |
| 10.0ms | -367732463862757250.0 | -203233355280478.6 |
| 10.0ms | 272× | 0 | valid |
Compiled 197 to 215 computations (-9.1% saved)
ival-add: 2.0ms (39.2% of total)ival-mult: 2.0ms (39.2% of total)ival-sub: 1.0ms (19.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.257836689115441e-55 | 1.5480070554921599e-43 |
| 1.0ms | -2.047781674880484e-21 | -1.893487670292536e-21 |
| 6.0ms | 176× | 0 | valid |
Compiled 98 to 121 computations (-23.5% saved)
ival-sub: 1.0ms (32.6% of total)ival-add: 1.0ms (32.6% of total)ival-mult: 1.0ms (32.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.9268243393404547e-22 | 1.109601318796721e-15 |
| 9.0ms | -76.0758779105547 | -0.11220174121016246 |
| 5.0ms | 128× | 0 | valid |
Compiled 146 to 198 computations (-35.6% saved)
ival-sub: 1.0ms (44% of total)ival-add: 1.0ms (44% of total)ival-mult: 1.0ms (44% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 8× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 152 |
| 1 | 48 | 152 |
| 2 | 52 | 152 |
| 3 | 53 | 152 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
(if (<=.f64 y #s(literal -205000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 5577662641004209/5070602400912917605986812821504 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)))) |
(if (<=.f64 y #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (if (<=.f64 y #s(literal 5577662641004209/5070602400912917605986812821504 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))))) |
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x) |
(if (<=.f64 y #s(literal -205000000000000 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 5577662641004209/5070602400912917605986812821504 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)))) |
(if (<=.f64 y #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 5348853418762687/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (if (<=.f64 y #s(literal 5577662641004209/5070602400912917605986812821504 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))))) |
#s(approx (- (* (+ x 1) y) x) (neg.f64 x)) |
| 4 204× | lower-*.f64 |
| 4 204× | lower-*.f32 |
| 4 192× | lower-*.f64 |
| 4 192× | lower-*.f32 |
| 3 480× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 1058 |
| 1 | 149 | 1058 |
| 2 | 398 | 1058 |
| 3 | 1017 | 1058 |
| 4 | 2499 | 1058 |
| 5 | 3633 | 1058 |
| 6 | 4399 | 1058 |
| 7 | 5341 | 1058 |
| 8 | 5867 | 1058 |
| 9 | 6429 | 1058 |
| 10 | 7472 | 1058 |
| 0 | 8027 | 915 |
| 0 | 41 | 291 |
| 1 | 140 | 291 |
| 2 | 363 | 291 |
| 3 | 978 | 291 |
| 4 | 2455 | 291 |
| 5 | 3593 | 291 |
| 6 | 4358 | 291 |
| 7 | 5301 | 291 |
| 8 | 5827 | 291 |
| 9 | 6391 | 291 |
| 10 | 7434 | 291 |
| 0 | 8103 | 250 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 99 to 57 computations (42.4% saved)
Compiled 166 to 76 computations (54.2% saved)
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