
Time bar (total: 2.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 602.0ms | 8 256× | 0 | valid |
ival-mult: 136.0ms (76% of total)ival-sub: 34.0ms (19% of total)ival-true: 6.0ms (3.4% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 z t) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 x y) (*.f64 z t)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 x y) | overflow | 31 | |
| ↳ | (*.f64 z t) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 45 to 25 computations (44.4% saved)
ival-mult: 7.0ms (70.4% of total)ival-sub: 2.0ms (20.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 140× | lower-*.f64 |
| 124× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 102 |
| 1 | 103 | 102 |
| 2 | 183 | 102 |
| 3 | 381 | 102 |
| 4 | 617 | 102 |
| 5 | 701 | 102 |
| 6 | 713 | 102 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 17 | 7 |
| 2 | 29 | 7 |
| 3 | 41 | 7 |
| 4 | 62 | 7 |
| 5 | 92 | 7 |
| 6 | 150 | 7 |
| 7 | 217 | 7 |
| 8 | 277 | 7 |
| 9 | 306 | 7 |
| 10 | 322 | 7 |
| 0 | 322 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x y) (*.f64 z t)) |
| Outputs |
|---|
(-.f64 (*.f64 x y) (*.f64 z t)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(sort x y)
(sort z t)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.f64 (*.f64 x y) (*.f64 z t)) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 140× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 10 | 17 |
| 1 | 17 | 17 |
| 2 | 29 | 17 |
| 3 | 41 | 17 |
| 4 | 62 | 17 |
| 5 | 92 | 17 |
| 6 | 150 | 17 |
| 7 | 217 | 17 |
| 8 | 277 | 17 |
| 9 | 306 | 17 |
| 10 | 322 | 17 |
| 0 | 322 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
x |
y |
(*.f64 z t) |
z |
t |
| Outputs |
|---|
(-.f64 (*.f64 x y) (*.f64 z t)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.20312500000000003 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 21.0ms | 256× | 0 | valid |
Compiled 19 to 9 computations (52.6% saved)
ival-mult: 11.0ms (92.2% of total)ival-sub: 1.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<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 (* x y) (taylor inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<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 (* x y) (taylor -inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<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 (* -1 (* t z)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<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 (* x y) (taylor -inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | inf | ((- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | x | @ | inf | ((- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | z | @ | inf | ((- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | t | @ | 0 | ((- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | y | @ | -inf | ((- (* x y) (* z t)) (* x y) (* z t)) |
| 1× | egg-herbie |
| 5 952× | lower-fma.f64 |
| 5 952× | lower-fma.f32 |
| 3 064× | lower-*.f64 |
| 3 064× | lower-*.f32 |
| 1 336× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 438 |
| 1 | 141 | 438 |
| 2 | 387 | 438 |
| 3 | 1317 | 438 |
| 4 | 3790 | 438 |
| 5 | 6101 | 438 |
| 6 | 7969 | 438 |
| 0 | 8177 | 438 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t z)) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* x y) t) z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t z)) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* x y) z) t)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 10 966× | lower-fma.f64 |
| 10 966× | lower-fma.f32 |
| 4 326× | lower-*.f32 |
| 4 322× | lower-*.f64 |
| 3 818× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 30 | 13 |
| 2 | 207 | 13 |
| 3 | 1953 | 13 |
| 0 | 8325 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
(*.f64 z t) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 (*.f64 t z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 t z (*.f64 y x)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 t z (*.f64 y x)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (-.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) z (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (fma.f64 t z (*.f64 y x))) (pow.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (fma.f64 t z (*.f64 y x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 (*.f64 t z) #s(literal 9 binary64))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 t) z) (*.f64 y x)))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 t) z) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 t) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64))) |
(*.f64 t z) |
(*.f64 z t) |
(pow.f64 (*.f64 t z) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 t z))) |
Compiled 10 426 to 664 computations (93.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 3 | 326 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 324 | 3 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (neg.f64 z) t (*.f64 y x)) |
| ▶ | 50.9% | #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
| ▶ | 53.0% | #s(approx (- (* x y) (* z t)) (*.f64 y x)) |
Compiled 16 to 20 computations (-25% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) t (*.f64 y x)) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) z) | |
| cost-diff | 0 | #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (- (* x y) (* z t)) (*.f64 y x)) |
| 208× | lower-fma.f32 |
| 206× | lower-fma.f64 |
| 144× | lower-*.f32 |
| 140× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 0 | 20 | 52 |
| 1 | 36 | 52 |
| 2 | 44 | 52 |
| 3 | 61 | 52 |
| 4 | 83 | 52 |
| 5 | 110 | 52 |
| 6 | 173 | 52 |
| 7 | 232 | 52 |
| 8 | 285 | 52 |
| 9 | 314 | 52 |
| 10 | 330 | 52 |
| 0 | 330 | 52 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(neg.f64 z) |
z |
t |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 t) z) |
(*.f64 (neg.f64 z) t) |
(neg.f64 t) |
t |
z |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(neg.f64 z) |
z |
t |
(*.f64 y x) |
y |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (neg.f64 z) t (*.f64 y x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (*.f64 (neg.f64 t) z) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 31.40113656058948 | #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 30.079405218674015 | #s(approx (- (* x y) (* z t)) (*.f64 y x)) |
| 31.0ms | 256× | 0 | valid |
Compiled 46 to 15 computations (67.4% saved)
ival-mult: 9.0ms (68.2% of total)ival-neg: 2.0ms (15.2% of total)ival-sub: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (- (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | ((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z)) |
| 1.0ms | z | @ | -inf | ((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z)) |
| 1.0ms | t | @ | 0 | ((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z)) |
| 1.0ms | z | @ | inf | ((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z)) |
| 1.0ms | t | @ | -inf | ((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z)) |
| 1× | egg-herbie |
| 3 984× | lower-fma.f64 |
| 3 984× | lower-fma.f32 |
| 3 832× | lower-/.f32 |
| 3 832× | lower-/.f64 |
| 2 448× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1098 |
| 1 | 185 | 1098 |
| 2 | 495 | 1098 |
| 3 | 1586 | 1098 |
| 4 | 3647 | 1098 |
| 5 | 5415 | 1098 |
| 6 | 5986 | 1098 |
| 7 | 6030 | 1098 |
| 8 | 6048 | 1098 |
| 9 | 6052 | 1098 |
| 10 | 7092 | 1098 |
| 0 | 8888 | 1098 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* -1 (* t z)) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* x y) t) z)) |
(* -1 (* t z)) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* x y) t) z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ (* x y) t))) |
(* t (+ (* -1 z) (/ (* x y) t))) |
(* t (+ (* -1 z) (/ (* x y) t))) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ z (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ z (* -1 (/ (* x y) t))))) |
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* x y) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* t z)) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* x y) z) t)) |
(* -1 (* t z)) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* x y) z) t)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* z (+ (* -1 t) (/ (* x y) z))) |
(* z (+ (* -1 t) (/ (* x y) z))) |
(* z (+ (* -1 t) (/ (* x y) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* t z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* t z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* z (+ t (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ t (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ t (* -1 (/ (* x y) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* x y) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* x y) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(- (* x y) (* t z)) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(+ (* -1 (* t z)) (* x y)) |
(* x y) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x y) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* t (+ (* -1 z) (/ (* x y) t))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t (+ (* -1 z) (/ (* x y) t))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t (+ (* -1 z) (/ (* x y) t))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t (+ z (* -1 (/ (* x y) t))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t (+ z (* -1 (/ (* x y) t))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t (+ z (* -1 (/ (* x y) t))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* z (+ (* -1 t) (/ (* x y) z))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* z (+ (* -1 t) (/ (* x y) z))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* z (+ (* -1 t) (/ (* x y) z))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(* -1 (* z (+ t (* -1 (/ (* x y) z))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* z (+ t (* -1 (/ (* x y) z))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* z (+ t (* -1 (/ (* x y) z))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
| 9 070× | lower-fma.f32 |
| 9 068× | lower-fma.f64 |
| 6 150× | lower-*.f32 |
| 6 146× | lower-*.f64 |
| 2 494× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 0 | 20 | 41 |
| 1 | 66 | 41 |
| 2 | 391 | 41 |
| 3 | 4381 | 41 |
| 0 | 9399 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(neg.f64 z) |
| Outputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 t z)) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 t))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (neg.f64 t)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 t))) |
(*.f64 #s(literal -1 binary64) (*.f64 t z)) |
(*.f64 (neg.f64 z) t) |
(*.f64 (neg.f64 t) z) |
(*.f64 (*.f64 t z) #s(literal -1 binary64)) |
(*.f64 t (neg.f64 z)) |
(*.f64 z (neg.f64 t)) |
(pow.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) t) z) |
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 t t)) z) t) |
(/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) z) (*.f64 t t)) |
(/.f64 (*.f64 t (neg.f64 (*.f64 z z))) z) |
(/.f64 (*.f64 t (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) |
(/.f64 (*.f64 z (neg.f64 (*.f64 t t))) t) |
(/.f64 (*.f64 z (pow.f64 t #s(literal 3 binary64))) (*.f64 t t)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 t z))) |
(/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 t z))))) |
(neg.f64 (*.f64 t z)) |
(-.f64 #s(literal 0 binary64) (*.f64 t z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) t)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (neg.f64 z) t))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 (*.f64 t t)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 t #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (neg.f64 (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 t t)) (-.f64 #s(literal 0 binary64) (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 t t)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t))))) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (*.f64 t t))) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 t t)) |
(neg.f64 t) |
(fma.f64 (neg.f64 (*.f64 t t)) (pow.f64 t #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) t #s(literal 0 binary64)) |
(fma.f64 t #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t t)) (neg.f64 t)) |
(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
(+.f64 (neg.f64 t) #s(literal 0 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (-.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) (-.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (pow.f64 (*.f64 t z) #s(literal 4 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 t z) (*.f64 y x))) |
(-.f64 (*.f64 y x) (*.f64 t z)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 z) t) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (neg.f64 (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 0 binary64) (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 z z)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (*.f64 z z))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)) |
(neg.f64 z) |
(fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 z)) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(literal 0 binary64)) |
Compiled 7 241 to 670 computations (90.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 0 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 478 | 3 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (neg.f64 z) t (*.f64 y x)) |
| ✓ | 50.9% | #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
| ✓ | 53.0% | #s(approx (- (* x y) (* z t)) (*.f64 y x)) |
Compiled 39 to 34 computations (12.8% saved)
| Inputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
7 calls:
| 3.0ms | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 100.0% | 1 | (*.f64 x y) |
| 100.0% | 1 | (*.f64 z t) |
Compiled 17 to 33 computations (-94.1% saved)
| Inputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
| Outputs |
|---|
(-.f64 (*.f64 x y) (*.f64 z t)) |
7 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x y) |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 99.6% | 1 | (*.f64 x y) |
| 99.6% | 1 | (*.f64 z t) |
Compiled 17 to 33 computations (-94.1% saved)
| Inputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
| Outputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) |
7 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | (-.f64 (*.f64 x y) (*.f64 z t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 3 | x |
| 71.7% | 3 | y |
| 75.8% | 3 | z |
| 72.7% | 3 | t |
| 59.7% | 4 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 77.3% | 3 | (*.f64 x y) |
| 79.4% | 3 | (*.f64 z t) |
Compiled 17 to 33 computations (-94.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
7 calls:
| 3.0ms | x |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 z t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 53.0% | 1 | y |
| 53.0% | 1 | t |
| 53.0% | 1 | x |
| 53.0% | 1 | z |
| 53.0% | 1 | (*.f64 x y) |
| 53.0% | 1 | (*.f64 z t) |
Compiled 17 to 33 computations (-94.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9678812721281299e+90 | 1.0408445871970812e+93 |
| 0.0ms | -3.3248625645174272e+87 | -2.485660064060089e+85 |
Compiled 10 to 14 computations (-40% saved)
| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 8× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 72 |
| 1 | 39 | 72 |
| 2 | 47 | 72 |
| 3 | 51 | 72 |
| 4 | 52 | 72 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(if (<=.f64 (*.f64 z t) #s(literal -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (if (<=.f64 (*.f64 z t) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 y x)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)))) |
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(fma.f64 (neg.f64 z) t (*.f64 x y)) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(-.f64 (*.f64 x y) (*.f64 t z)) |
(if (<=.f64 (*.f64 z t) #s(literal -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (if (<=.f64 (*.f64 z t) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 y x)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)))) |
(if (<=.f64 (*.f64 t z) #s(literal -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (if (<=.f64 (*.f64 t z) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 x y)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)))) |
#s(approx (- (* x y) (* z t)) (*.f64 y x)) |
#s(approx (- (* x y) (* z t)) (*.f64 x y)) |
| 10 966× | lower-fma.f64 |
| 10 966× | lower-fma.f32 |
| 5 952× | lower-fma.f64 |
| 5 952× | lower-fma.f32 |
| 4 326× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 438 |
| 1 | 141 | 438 |
| 2 | 387 | 438 |
| 3 | 1317 | 438 |
| 4 | 3790 | 438 |
| 5 | 6101 | 438 |
| 6 | 7969 | 438 |
| 0 | 8177 | 438 |
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 30 | 13 |
| 2 | 207 | 13 |
| 3 | 1953 | 13 |
| 0 | 8325 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 75 to 46 computations (38.7% saved)
(sort z t)
(sort x y)
Compiled 214 to 164 computations (23.4% saved)
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